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Finding the Third Proportional to 296,102.25 and 442,177.31

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Solution

The third proportional to 296,102.25 and 442,177.31 is: 660,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,102.25 : 442,177.31 = 442,177.31 : x
  2. Step 2: Convert to fraction form
    296,102.25/442,177.31 = 442,177.31/x
  3. Step 3: Cross multiply
    296,102.25x = 442,177.31 × 442,177.31
  4. Step 4: Simplify right side
    296,102.25x = 195,520,775,689.72
  5. Step 5: Solve for x
    x = 195,520,775,689.72/296,102.25
  6. Step 6: Final answer
    x = 660,315.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.