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Finding the Third Proportional to 130,038 and 244,524

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Solution

The third proportional to 130,038 and 244,524 is: 459,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,038 : 244,524 = 244,524 : x
  2. Step 2: Convert to fraction form
    130,038/244,524 = 244,524/x
  3. Step 3: Cross multiply
    130,038x = 244,524 × 244,524
  4. Step 4: Simplify right side
    130,038x = 59,791,986,576
  5. Step 5: Solve for x
    x = 59,791,986,576/130,038
  6. Step 6: Final answer
    x = 459,803.95

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.