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Finding the Third Proportional to 251,049.38 and 376,574.06

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Solution

The third proportional to 251,049.38 and 376,574.06 is: 564,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,049.38 : 376,574.06 = 376,574.06 : x
  2. Step 2: Convert to fraction form
    251,049.38/376,574.06 = 376,574.06/x
  3. Step 3: Cross multiply
    251,049.38x = 376,574.06 × 376,574.06
  4. Step 4: Simplify right side
    251,049.38x = 141,808,024,547.75
  5. Step 5: Solve for x
    x = 141,808,024,547.75/251,049.38
  6. Step 6: Final answer
    x = 564,861.09

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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.