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Finding the Third Proportional to 165,650 and 357,528

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Solution

The third proportional to 165,650 and 357,528 is: 771,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,650 : 357,528 = 357,528 : x
  2. Step 2: Convert to fraction form
    165,650/357,528 = 357,528/x
  3. Step 3: Cross multiply
    165,650x = 357,528 × 357,528
  4. Step 4: Simplify right side
    165,650x = 127,826,270,784
  5. Step 5: Solve for x
    x = 127,826,270,784/165,650
  6. Step 6: Final answer
    x = 771,664.78

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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.