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Finding the Third Proportional to 153,215.30 and 332,264.53

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Solution

The third proportional to 153,215.30 and 332,264.53 is: 720,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,215.30 : 332,264.53 = 332,264.53 : x
  2. Step 2: Convert to fraction form
    153,215.30/332,264.53 = 332,264.53/x
  3. Step 3: Cross multiply
    153,215.30x = 332,264.53 × 332,264.53
  4. Step 4: Simplify right side
    153,215.30x = 110,399,718,726.78
  5. Step 5: Solve for x
    x = 110,399,718,726.78/153,215.30
  6. Step 6: Final answer
    x = 720,552.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.