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Finding the Third Proportional to 133,452 and 291,528

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Solution

The third proportional to 133,452 and 291,528 is: 636,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,452 : 291,528 = 291,528 : x
  2. Step 2: Convert to fraction form
    133,452/291,528 = 291,528/x
  3. Step 3: Cross multiply
    133,452x = 291,528 × 291,528
  4. Step 4: Simplify right side
    133,452x = 84,988,574,784
  5. Step 5: Solve for x
    x = 84,988,574,784/133,452
  6. Step 6: Final answer
    x = 636,847.52

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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.