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Finding the Third Proportional to 187,443 and 409,837.50

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Solution

The third proportional to 187,443 and 409,837.50 is: 896,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,443 : 409,837.50 = 409,837.50 : x
  2. Step 2: Convert to fraction form
    187,443/409,837.50 = 409,837.50/x
  3. Step 3: Cross multiply
    187,443x = 409,837.50 × 409,837.50
  4. Step 4: Simplify right side
    187,443x = 167,966,776,406.25
  5. Step 5: Solve for x
    x = 167,966,776,406.25/187,443
  6. Step 6: Final answer
    x = 896,095.22

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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.