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Finding the Third Proportional to 134,680 and 283,292

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Solution

The third proportional to 134,680 and 283,292 is: 595,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,680 : 283,292 = 283,292 : x
  2. Step 2: Convert to fraction form
    134,680/283,292 = 283,292/x
  3. Step 3: Cross multiply
    134,680x = 283,292 × 283,292
  4. Step 4: Simplify right side
    134,680x = 80,254,357,264
  5. Step 5: Solve for x
    x = 80,254,357,264/134,680
  6. Step 6: Final answer
    x = 595,889.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.