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Finding the Third Proportional to 163,776 and 357,504

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Solution

The third proportional to 163,776 and 357,504 is: 780,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,776 : 357,504 = 357,504 : x
  2. Step 2: Convert to fraction form
    163,776/357,504 = 357,504/x
  3. Step 3: Cross multiply
    163,776x = 357,504 × 357,504
  4. Step 4: Simplify right side
    163,776x = 127,809,110,016
  5. Step 5: Solve for x
    x = 127,809,110,016/163,776
  6. Step 6: Final answer
    x = 780,389.74

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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.