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Finding the Third Proportional to 153,937.13 and 230,288.06

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Solution

The third proportional to 153,937.13 and 230,288.06 is: 344,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,937.13 : 230,288.06 = 230,288.06 : x
  2. Step 2: Convert to fraction form
    153,937.13/230,288.06 = 230,288.06/x
  3. Step 3: Cross multiply
    153,937.13x = 230,288.06 × 230,288.06
  4. Step 4: Simplify right side
    153,937.13x = 53,032,591,730.00
  5. Step 5: Solve for x
    x = 53,032,591,730.00/153,937.13
  6. Step 6: Final answer
    x = 344,508.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.