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Finding the Third Proportional to 186,532.50 and 291,793.50

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Solution

The third proportional to 186,532.50 and 291,793.50 is: 456,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,532.50 : 291,793.50 = 291,793.50 : x
  2. Step 2: Convert to fraction form
    186,532.50/291,793.50 = 291,793.50/x
  3. Step 3: Cross multiply
    186,532.50x = 291,793.50 × 291,793.50
  4. Step 4: Simplify right side
    186,532.50x = 85,143,446,642.25
  5. Step 5: Solve for x
    x = 85,143,446,642.25/186,532.50
  6. Step 6: Final answer
    x = 456,453.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.