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Finding the Third Proportional to 157,767.75 and 347,089.50

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Solution

The third proportional to 157,767.75 and 347,089.50 is: 763,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,767.75 : 347,089.50 = 347,089.50 : x
  2. Step 2: Convert to fraction form
    157,767.75/347,089.50 = 347,089.50/x
  3. Step 3: Cross multiply
    157,767.75x = 347,089.50 × 347,089.50
  4. Step 4: Simplify right side
    157,767.75x = 120,471,121,010.25
  5. Step 5: Solve for x
    x = 120,471,121,010.25/157,767.75
  6. Step 6: Final answer
    x = 763,597.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.