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Finding the Third Proportional to 134,560 and 286,392

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Solution

The third proportional to 134,560 and 286,392 is: 609,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,560 : 286,392 = 286,392 : x
  2. Step 2: Convert to fraction form
    134,560/286,392 = 286,392/x
  3. Step 3: Cross multiply
    134,560x = 286,392 × 286,392
  4. Step 4: Simplify right side
    134,560x = 82,020,377,664
  5. Step 5: Solve for x
    x = 82,020,377,664/134,560
  6. Step 6: Final answer
    x = 609,545.02

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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.