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Finding the Third Proportional to 134,466 and 286,596

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Solution

The third proportional to 134,466 and 286,596 is: 610,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,466 : 286,596 = 286,596 : x
  2. Step 2: Convert to fraction form
    134,466/286,596 = 286,596/x
  3. Step 3: Cross multiply
    134,466x = 286,596 × 286,596
  4. Step 4: Simplify right side
    134,466x = 82,137,267,216
  5. Step 5: Solve for x
    x = 82,137,267,216/134,466
  6. Step 6: Final answer
    x = 610,840.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.