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Finding the Third Proportional to 134,390 and 282,571

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Solution

The third proportional to 134,390 and 282,571 is: 594,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,390 : 282,571 = 282,571 : x
  2. Step 2: Convert to fraction form
    134,390/282,571 = 282,571/x
  3. Step 3: Cross multiply
    134,390x = 282,571 × 282,571
  4. Step 4: Simplify right side
    134,390x = 79,846,370,041
  5. Step 5: Solve for x
    x = 79,846,370,041/134,390
  6. Step 6: Final answer
    x = 594,139.22

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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.