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Finding the Third Proportional to 115,275.38 and 176,411.25

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Solution

The third proportional to 115,275.38 and 176,411.25 is: 269,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,275.38 : 176,411.25 = 176,411.25 : x
  2. Step 2: Convert to fraction form
    115,275.38/176,411.25 = 176,411.25/x
  3. Step 3: Cross multiply
    115,275.38x = 176,411.25 × 176,411.25
  4. Step 4: Simplify right side
    115,275.38x = 31,120,929,126.56
  5. Step 5: Solve for x
    x = 31,120,929,126.56/115,275.38
  6. Step 6: Final answer
    x = 269,970.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.