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Finding the Third Proportional to 137,590.50 and 281,013

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Solution

The third proportional to 137,590.50 and 281,013 is: 573,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,590.50 : 281,013 = 281,013 : x
  2. Step 2: Convert to fraction form
    137,590.50/281,013 = 281,013/x
  3. Step 3: Cross multiply
    137,590.50x = 281,013 × 281,013
  4. Step 4: Simplify right side
    137,590.50x = 78,968,306,169
  5. Step 5: Solve for x
    x = 78,968,306,169/137,590.50
  6. Step 6: Final answer
    x = 573,937.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.