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Finding the Third Proportional to 131,676 and 279,038.50

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Solution

The third proportional to 131,676 and 279,038.50 is: 591,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,676 : 279,038.50 = 279,038.50 : x
  2. Step 2: Convert to fraction form
    131,676/279,038.50 = 279,038.50/x
  3. Step 3: Cross multiply
    131,676x = 279,038.50 × 279,038.50
  4. Step 4: Simplify right side
    131,676x = 77,862,484,482.25
  5. Step 5: Solve for x
    x = 77,862,484,482.25/131,676
  6. Step 6: Final answer
    x = 591,318.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.