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Finding the Third Proportional to 198,064.13 and 296,335.13

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Solution

The third proportional to 198,064.13 and 296,335.13 is: 443,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,064.13 : 296,335.13 = 296,335.13 : x
  2. Step 2: Convert to fraction form
    198,064.13/296,335.13 = 296,335.13/x
  3. Step 3: Cross multiply
    198,064.13x = 296,335.13 × 296,335.13
  4. Step 4: Simplify right side
    198,064.13x = 87,814,506,308.77
  5. Step 5: Solve for x
    x = 87,814,506,308.77/198,064.13
  6. Step 6: Final answer
    x = 443,364.02

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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.