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Finding the Third Proportional to 115,438.50 and 177,319.13

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Solution

The third proportional to 115,438.50 and 177,319.13 is: 272,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,438.50 : 177,319.13 = 177,319.13 : x
  2. Step 2: Convert to fraction form
    115,438.50/177,319.13 = 177,319.13/x
  3. Step 3: Cross multiply
    115,438.50x = 177,319.13 × 177,319.13
  4. Step 4: Simplify right side
    115,438.50x = 31,442,072,090.77
  5. Step 5: Solve for x
    x = 31,442,072,090.77/115,438.50
  6. Step 6: Final answer
    x = 272,370.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.