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Finding the Third Proportional to 120,778 and 262,368

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Solution

The third proportional to 120,778 and 262,368 is: 569,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,778 : 262,368 = 262,368 : x
  2. Step 2: Convert to fraction form
    120,778/262,368 = 262,368/x
  3. Step 3: Cross multiply
    120,778x = 262,368 × 262,368
  4. Step 4: Simplify right side
    120,778x = 68,836,967,424
  5. Step 5: Solve for x
    x = 68,836,967,424/120,778
  6. Step 6: Final answer
    x = 569,946.24

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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.