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Finding the Third Proportional to 129,844.13 and 194,248.69

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Solution

The third proportional to 129,844.13 and 194,248.69 is: 290,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,844.13 : 194,248.69 = 194,248.69 : x
  2. Step 2: Convert to fraction form
    129,844.13/194,248.69 = 194,248.69/x
  3. Step 3: Cross multiply
    129,844.13x = 194,248.69 × 194,248.69
  4. Step 4: Simplify right side
    129,844.13x = 37,732,552,595.47
  5. Step 5: Solve for x
    x = 37,732,552,595.47/129,844.13
  6. Step 6: Final answer
    x = 290,598.84

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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.