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Finding the Third Proportional to 187,526.50 and 281,310

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Solution

The third proportional to 187,526.50 and 281,310 is: 421,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,526.50 : 281,310 = 281,310 : x
  2. Step 2: Convert to fraction form
    187,526.50/281,310 = 281,310/x
  3. Step 3: Cross multiply
    187,526.50x = 281,310 × 281,310
  4. Step 4: Simplify right side
    187,526.50x = 79,135,316,100
  5. Step 5: Solve for x
    x = 79,135,316,100/187,526.50
  6. Step 6: Final answer
    x = 421,995.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.