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Finding the Third Proportional to 163,888.31 and 357,564.38

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Solution

The third proportional to 163,888.31 and 357,564.38 is: 780,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,888.31 : 357,564.38 = 357,564.38 : x
  2. Step 2: Convert to fraction form
    163,888.31/357,564.38 = 357,564.38/x
  3. Step 3: Cross multiply
    163,888.31x = 357,564.38 × 357,564.38
  4. Step 4: Simplify right side
    163,888.31x = 127,852,282,269.14
  5. Step 5: Solve for x
    x = 127,852,282,269.14/163,888.31
  6. Step 6: Final answer
    x = 780,118.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.