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Finding the Third Proportional to 130,237.88 and 276,463.13

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Solution

The third proportional to 130,237.88 and 276,463.13 is: 586,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,237.88 : 276,463.13 = 276,463.13 : x
  2. Step 2: Convert to fraction form
    130,237.88/276,463.13 = 276,463.13/x
  3. Step 3: Cross multiply
    130,237.88x = 276,463.13 × 276,463.13
  4. Step 4: Simplify right side
    130,237.88x = 76,431,859,484.77
  5. Step 5: Solve for x
    x = 76,431,859,484.77/130,237.88
  6. Step 6: Final answer
    x = 586,863.53

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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.