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Finding the Third Proportional to 112,778 and 266,716

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Solution

The third proportional to 112,778 and 266,716 is: 630,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,778 : 266,716 = 266,716 : x
  2. Step 2: Convert to fraction form
    112,778/266,716 = 266,716/x
  3. Step 3: Cross multiply
    112,778x = 266,716 × 266,716
  4. Step 4: Simplify right side
    112,778x = 71,137,424,656
  5. Step 5: Solve for x
    x = 71,137,424,656/112,778
  6. Step 6: Final answer
    x = 630,773.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.