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Finding the Third Proportional to 115,933.75 and 176,330.75

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Solution

The third proportional to 115,933.75 and 176,330.75 is: 268,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,933.75 : 176,330.75 = 176,330.75 : x
  2. Step 2: Convert to fraction form
    115,933.75/176,330.75 = 176,330.75/x
  3. Step 3: Cross multiply
    115,933.75x = 176,330.75 × 176,330.75
  4. Step 4: Simplify right side
    115,933.75x = 31,092,533,395.56
  5. Step 5: Solve for x
    x = 31,092,533,395.56/115,933.75
  6. Step 6: Final answer
    x = 268,192.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.