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Finding the Third Proportional to 165,600 and 357,429

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Solution

The third proportional to 165,600 and 357,429 is: 771,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,600 : 357,429 = 357,429 : x
  2. Step 2: Convert to fraction form
    165,600/357,429 = 357,429/x
  3. Step 3: Cross multiply
    165,600x = 357,429 × 357,429
  4. Step 4: Simplify right side
    165,600x = 127,755,490,041
  5. Step 5: Solve for x
    x = 127,755,490,041/165,600
  6. Step 6: Final answer
    x = 771,470.35

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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.