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Finding the Third Proportional to 120,807 and 262,377

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Solution

The third proportional to 120,807 and 262,377 is: 569,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,807 : 262,377 = 262,377 : x
  2. Step 2: Convert to fraction form
    120,807/262,377 = 262,377/x
  3. Step 3: Cross multiply
    120,807x = 262,377 × 262,377
  4. Step 4: Simplify right side
    120,807x = 68,841,690,129
  5. Step 5: Solve for x
    x = 68,841,690,129/120,807
  6. Step 6: Final answer
    x = 569,848.52

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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.