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Finding the Third Proportional to 165,600 and 354,528

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Solution

The third proportional to 165,600 and 354,528 is: 758,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,600 : 354,528 = 354,528 : x
  2. Step 2: Convert to fraction form
    165,600/354,528 = 354,528/x
  3. Step 3: Cross multiply
    165,600x = 354,528 × 354,528
  4. Step 4: Simplify right side
    165,600x = 125,690,102,784
  5. Step 5: Solve for x
    x = 125,690,102,784/165,600
  6. Step 6: Final answer
    x = 758,998.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.