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Finding the Third Proportional to 157,909.50 and 214,386.75

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Solution

The third proportional to 157,909.50 and 214,386.75 is: 291,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.50 : 214,386.75 = 214,386.75 : x
  2. Step 2: Convert to fraction form
    157,909.50/214,386.75 = 214,386.75/x
  3. Step 3: Cross multiply
    157,909.50x = 214,386.75 × 214,386.75
  4. Step 4: Simplify right side
    157,909.50x = 45,961,678,575.56
  5. Step 5: Solve for x
    x = 45,961,678,575.56/157,909.50
  6. Step 6: Final answer
    x = 291,063.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.