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Finding the Third Proportional to 187,217 and 410,070

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Solution

The third proportional to 187,217 and 410,070 is: 898,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,217 : 410,070 = 410,070 : x
  2. Step 2: Convert to fraction form
    187,217/410,070 = 410,070/x
  3. Step 3: Cross multiply
    187,217x = 410,070 × 410,070
  4. Step 4: Simplify right side
    187,217x = 168,157,404,900
  5. Step 5: Solve for x
    x = 168,157,404,900/187,217
  6. Step 6: Final answer
    x = 898,195.17

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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.