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Finding the Third Proportional to 186,590.50 and 281,231.50

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Solution

The third proportional to 186,590.50 and 281,231.50 is: 423,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,590.50 : 281,231.50 = 281,231.50 : x
  2. Step 2: Convert to fraction form
    186,590.50/281,231.50 = 281,231.50/x
  3. Step 3: Cross multiply
    186,590.50x = 281,231.50 × 281,231.50
  4. Step 4: Simplify right side
    186,590.50x = 79,091,156,592.25
  5. Step 5: Solve for x
    x = 79,091,156,592.25/186,590.50
  6. Step 6: Final answer
    x = 423,875.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.