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Finding the Third Proportional to 119,026 and 262,292

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Solution

The third proportional to 119,026 and 262,292 is: 578,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026 : 262,292 = 262,292 : x
  2. Step 2: Convert to fraction form
    119,026/262,292 = 262,292/x
  3. Step 3: Cross multiply
    119,026x = 262,292 × 262,292
  4. Step 4: Simplify right side
    119,026x = 68,797,093,264
  5. Step 5: Solve for x
    x = 68,797,093,264/119,026
  6. Step 6: Final answer
    x = 578,000.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.