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Finding the Third Proportional to 187,921.69 and 409,762.13

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Solution

The third proportional to 187,921.69 and 409,762.13 is: 893,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,921.69 : 409,762.13 = 409,762.13 : x
  2. Step 2: Convert to fraction form
    187,921.69/409,762.13 = 409,762.13/x
  3. Step 3: Cross multiply
    187,921.69x = 409,762.13 × 409,762.13
  4. Step 4: Simplify right side
    187,921.69x = 167,904,999,084.52
  5. Step 5: Solve for x
    x = 167,904,999,084.52/187,921.69
  6. Step 6: Final answer
    x = 893,483.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.