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Finding the Third Proportional to 152,371.13 and 232,424.44

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Solution

The third proportional to 152,371.13 and 232,424.44 is: 354,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,371.13 : 232,424.44 = 232,424.44 : x
  2. Step 2: Convert to fraction form
    152,371.13/232,424.44 = 232,424.44/x
  3. Step 3: Cross multiply
    152,371.13x = 232,424.44 × 232,424.44
  4. Step 4: Simplify right side
    152,371.13x = 54,021,119,147.19
  5. Step 5: Solve for x
    x = 54,021,119,147.19/152,371.13
  6. Step 6: Final answer
    x = 354,536.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.