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Finding the Third Proportional to 231,442.31 and 360,695.53

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Solution

The third proportional to 231,442.31 and 360,695.53 is: 562,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,442.31 : 360,695.53 = 360,695.53 : x
  2. Step 2: Convert to fraction form
    231,442.31/360,695.53 = 360,695.53/x
  3. Step 3: Cross multiply
    231,442.31x = 360,695.53 × 360,695.53
  4. Step 4: Simplify right side
    231,442.31x = 130,101,266,263.72
  5. Step 5: Solve for x
    x = 130,101,266,263.72/231,442.31
  6. Step 6: Final answer
    x = 562,132.59

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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.