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Finding the Third Proportional to 187,082 and 410,382

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Solution

The third proportional to 187,082 and 410,382 is: 900,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,082 : 410,382 = 410,382 : x
  2. Step 2: Convert to fraction form
    187,082/410,382 = 410,382/x
  3. Step 3: Cross multiply
    187,082x = 410,382 × 410,382
  4. Step 4: Simplify right side
    187,082x = 168,413,385,924
  5. Step 5: Solve for x
    x = 168,413,385,924/187,082
  6. Step 6: Final answer
    x = 900,211.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.