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Finding the Third Proportional to 160,927.31 and 243,462.56

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Solution

The third proportional to 160,927.31 and 243,462.56 is: 368,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,927.31 : 243,462.56 = 243,462.56 : x
  2. Step 2: Convert to fraction form
    160,927.31/243,462.56 = 243,462.56/x
  3. Step 3: Cross multiply
    160,927.31x = 243,462.56 × 243,462.56
  4. Step 4: Simplify right side
    160,927.31x = 59,274,019,339.07
  5. Step 5: Solve for x
    x = 59,274,019,339.07/160,927.31
  6. Step 6: Final answer
    x = 368,327.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.