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Finding the Third Proportional to 165,608 and 357,448

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Solution

The third proportional to 165,608 and 357,448 is: 771,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,608 : 357,448 = 357,448 : x
  2. Step 2: Convert to fraction form
    165,608/357,448 = 357,448/x
  3. Step 3: Cross multiply
    165,608x = 357,448 × 357,448
  4. Step 4: Simplify right side
    165,608x = 127,769,072,704
  5. Step 5: Solve for x
    x = 127,769,072,704/165,608
  6. Step 6: Final answer
    x = 771,515.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.