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Finding the Third Proportional to 87,348 and 189,528

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Solution

The third proportional to 87,348 and 189,528 is: 411,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,348 : 189,528 = 189,528 : x
  2. Step 2: Convert to fraction form
    87,348/189,528 = 189,528/x
  3. Step 3: Cross multiply
    87,348x = 189,528 × 189,528
  4. Step 4: Simplify right side
    87,348x = 35,920,862,784
  5. Step 5: Solve for x
    x = 35,920,862,784/87,348
  6. Step 6: Final answer
    x = 411,238.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.