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Finding the Third Proportional to 144,484.38 and 230,103.91

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Solution

The third proportional to 144,484.38 and 230,103.91 is: 366,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,484.38 : 230,103.91 = 230,103.91 : x
  2. Step 2: Convert to fraction form
    144,484.38/230,103.91 = 230,103.91/x
  3. Step 3: Cross multiply
    144,484.38x = 230,103.91 × 230,103.91
  4. Step 4: Simplify right side
    144,484.38x = 52,947,811,266.88
  5. Step 5: Solve for x
    x = 52,947,811,266.88/144,484.38
  6. Step 6: Final answer
    x = 366,460.45

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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.