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Finding the Third Proportional to 120,468.75 and 176,382

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Solution

The third proportional to 120,468.75 and 176,382 is: 258,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,468.75 : 176,382 = 176,382 : x
  2. Step 2: Convert to fraction form
    120,468.75/176,382 = 176,382/x
  3. Step 3: Cross multiply
    120,468.75x = 176,382 × 176,382
  4. Step 4: Simplify right side
    120,468.75x = 31,110,609,924
  5. Step 5: Solve for x
    x = 31,110,609,924/120,468.75
  6. Step 6: Final answer
    x = 258,246.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.