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Finding the Third Proportional to 144,480.59 and 230,098.22

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Solution

The third proportional to 144,480.59 and 230,098.22 is: 366,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,480.59 : 230,098.22 = 230,098.22 : x
  2. Step 2: Convert to fraction form
    144,480.59/230,098.22 = 230,098.22/x
  3. Step 3: Cross multiply
    144,480.59x = 230,098.22 × 230,098.22
  4. Step 4: Simplify right side
    144,480.59x = 52,945,190,271.92
  5. Step 5: Solve for x
    x = 52,945,190,271.92/144,480.59
  6. Step 6: Final answer
    x = 366,451.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.