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Finding the Third Proportional to 157,771.50 and 344,098.88

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Solution

The third proportional to 157,771.50 and 344,098.88 is: 750,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,771.50 : 344,098.88 = 344,098.88 : x
  2. Step 2: Convert to fraction form
    157,771.50/344,098.88 = 344,098.88/x
  3. Step 3: Cross multiply
    157,771.50x = 344,098.88 × 344,098.88
  4. Step 4: Simplify right side
    157,771.50x = 118,404,035,776.27
  5. Step 5: Solve for x
    x = 118,404,035,776.27/157,771.50
  6. Step 6: Final answer
    x = 750,477.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.