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Finding the Third Proportional to 130,746 and 283,497.75

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Solution

The third proportional to 130,746 and 283,497.75 is: 614,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,746 : 283,497.75 = 283,497.75 : x
  2. Step 2: Convert to fraction form
    130,746/283,497.75 = 283,497.75/x
  3. Step 3: Cross multiply
    130,746x = 283,497.75 × 283,497.75
  4. Step 4: Simplify right side
    130,746x = 80,370,974,255.06
  5. Step 5: Solve for x
    x = 80,370,974,255.06/130,746
  6. Step 6: Final answer
    x = 614,710.77

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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.