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Finding the Third Proportional to 187,292 and 404,518

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Solution

The third proportional to 187,292 and 404,518 is: 873,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,292 : 404,518 = 404,518 : x
  2. Step 2: Convert to fraction form
    187,292/404,518 = 404,518/x
  3. Step 3: Cross multiply
    187,292x = 404,518 × 404,518
  4. Step 4: Simplify right side
    187,292x = 163,634,812,324
  5. Step 5: Solve for x
    x = 163,634,812,324/187,292
  6. Step 6: Final answer
    x = 873,688.21

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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.