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Finding the Third Proportional to 187,657 and 276,523

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Solution

The third proportional to 187,657 and 276,523 is: 407,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,657 : 276,523 = 276,523 : x
  2. Step 2: Convert to fraction form
    187,657/276,523 = 276,523/x
  3. Step 3: Cross multiply
    187,657x = 276,523 × 276,523
  4. Step 4: Simplify right side
    187,657x = 76,464,969,529
  5. Step 5: Solve for x
    x = 76,464,969,529/187,657
  6. Step 6: Final answer
    x = 407,471.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.