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Finding the Third Proportional to 187,572 and 404,468

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Solution

The third proportional to 187,572 and 404,468 is: 872,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,572 : 404,468 = 404,468 : x
  2. Step 2: Convert to fraction form
    187,572/404,468 = 404,468/x
  3. Step 3: Cross multiply
    187,572x = 404,468 × 404,468
  4. Step 4: Simplify right side
    187,572x = 163,594,363,024
  5. Step 5: Solve for x
    x = 163,594,363,024/187,572
  6. Step 6: Final answer
    x = 872,168.36

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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.