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Finding the Third Proportional to 163,629 and 357,786

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Solution

The third proportional to 163,629 and 357,786 is: 782,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,629 : 357,786 = 357,786 : x
  2. Step 2: Convert to fraction form
    163,629/357,786 = 357,786/x
  3. Step 3: Cross multiply
    163,629x = 357,786 × 357,786
  4. Step 4: Simplify right side
    163,629x = 128,010,821,796
  5. Step 5: Solve for x
    x = 128,010,821,796/163,629
  6. Step 6: Final answer
    x = 782,323.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.