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Finding the Third Proportional to 231,462.75 and 360,726.75

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Solution

The third proportional to 231,462.75 and 360,726.75 is: 562,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,462.75 : 360,726.75 = 360,726.75 : x
  2. Step 2: Convert to fraction form
    231,462.75/360,726.75 = 360,726.75/x
  3. Step 3: Cross multiply
    231,462.75x = 360,726.75 × 360,726.75
  4. Step 4: Simplify right side
    231,462.75x = 130,123,788,165.56
  5. Step 5: Solve for x
    x = 130,123,788,165.56/231,462.75
  6. Step 6: Final answer
    x = 562,180.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.