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Finding the Third Proportional to 181,587 and 281,824.50

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Solution

The third proportional to 181,587 and 281,824.50 is: 437,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,587 : 281,824.50 = 281,824.50 : x
  2. Step 2: Convert to fraction form
    181,587/281,824.50 = 281,824.50/x
  3. Step 3: Cross multiply
    181,587x = 281,824.50 × 281,824.50
  4. Step 4: Simplify right side
    181,587x = 79,425,048,800.25
  5. Step 5: Solve for x
    x = 79,425,048,800.25/181,587
  6. Step 6: Final answer
    x = 437,393.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.