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Finding the Third Proportional to 162,133.31 and 243,718.88

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Solution

The third proportional to 162,133.31 and 243,718.88 is: 366,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,133.31 : 243,718.88 = 243,718.88 : x
  2. Step 2: Convert to fraction form
    162,133.31/243,718.88 = 243,718.88/x
  3. Step 3: Cross multiply
    162,133.31x = 243,718.88 × 243,718.88
  4. Step 4: Simplify right side
    162,133.31x = 59,398,890,031.27
  5. Step 5: Solve for x
    x = 59,398,890,031.27/162,133.31
  6. Step 6: Final answer
    x = 366,358.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.