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Finding the Third Proportional to 131,465 and 285,286

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Solution

The third proportional to 131,465 and 285,286 is: 619,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,465 : 285,286 = 285,286 : x
  2. Step 2: Convert to fraction form
    131,465/285,286 = 285,286/x
  3. Step 3: Cross multiply
    131,465x = 285,286 × 285,286
  4. Step 4: Simplify right side
    131,465x = 81,388,101,796
  5. Step 5: Solve for x
    x = 81,388,101,796/131,465
  6. Step 6: Final answer
    x = 619,085.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.