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Finding the Third Proportional to 130,460 and 283,226

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Solution

The third proportional to 130,460 and 283,226 is: 614,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,460 : 283,226 = 283,226 : x
  2. Step 2: Convert to fraction form
    130,460/283,226 = 283,226/x
  3. Step 3: Cross multiply
    130,460x = 283,226 × 283,226
  4. Step 4: Simplify right side
    130,460x = 80,216,967,076
  5. Step 5: Solve for x
    x = 80,216,967,076/130,460
  6. Step 6: Final answer
    x = 614,877.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.