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Finding the Third Proportional to 130,704 and 282,792

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Solution

The third proportional to 130,704 and 282,792 is: 611,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,704 : 282,792 = 282,792 : x
  2. Step 2: Convert to fraction form
    130,704/282,792 = 282,792/x
  3. Step 3: Cross multiply
    130,704x = 282,792 × 282,792
  4. Step 4: Simplify right side
    130,704x = 79,971,315,264
  5. Step 5: Solve for x
    x = 79,971,315,264/130,704
  6. Step 6: Final answer
    x = 611,850.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.