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Finding the Third Proportional to 187,210 and 410,708

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Solution

The third proportional to 187,210 and 410,708 is: 901,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,210 : 410,708 = 410,708 : x
  2. Step 2: Convert to fraction form
    187,210/410,708 = 410,708/x
  3. Step 3: Cross multiply
    187,210x = 410,708 × 410,708
  4. Step 4: Simplify right side
    187,210x = 168,681,061,264
  5. Step 5: Solve for x
    x = 168,681,061,264/187,210
  6. Step 6: Final answer
    x = 901,025.91

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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.