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Finding the Third Proportional to 153,585.88 and 240,411.13

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Solution

The third proportional to 153,585.88 and 240,411.13 is: 376,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585.88 : 240,411.13 = 240,411.13 : x
  2. Step 2: Convert to fraction form
    153,585.88/240,411.13 = 240,411.13/x
  3. Step 3: Cross multiply
    153,585.88x = 240,411.13 × 240,411.13
  4. Step 4: Simplify right side
    153,585.88x = 57,797,509,023.77
  5. Step 5: Solve for x
    x = 57,797,509,023.77/153,585.88
  6. Step 6: Final answer
    x = 376,320.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.