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Finding the Third Proportional to 194,977.13 and 418,959

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Solution

The third proportional to 194,977.13 and 418,959 is: 900,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,977.13 : 418,959 = 418,959 : x
  2. Step 2: Convert to fraction form
    194,977.13/418,959 = 418,959/x
  3. Step 3: Cross multiply
    194,977.13x = 418,959 × 418,959
  4. Step 4: Simplify right side
    194,977.13x = 175,526,643,681
  5. Step 5: Solve for x
    x = 175,526,643,681/194,977.13
  6. Step 6: Final answer
    x = 900,242.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.