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Finding the Third Proportional to 117,298.13 and 256,099.13

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Solution

The third proportional to 117,298.13 and 256,099.13 is: 559,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,298.13 : 256,099.13 = 256,099.13 : x
  2. Step 2: Convert to fraction form
    117,298.13/256,099.13 = 256,099.13/x
  3. Step 3: Cross multiply
    117,298.13x = 256,099.13 × 256,099.13
  4. Step 4: Simplify right side
    117,298.13x = 65,586,761,825.77
  5. Step 5: Solve for x
    x = 65,586,761,825.77/117,298.13
  6. Step 6: Final answer
    x = 559,145.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.