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Finding the Third Proportional to 122,825 and 266,386

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Solution

The third proportional to 122,825 and 266,386 is: 577,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,825 : 266,386 = 266,386 : x
  2. Step 2: Convert to fraction form
    122,825/266,386 = 266,386/x
  3. Step 3: Cross multiply
    122,825x = 266,386 × 266,386
  4. Step 4: Simplify right side
    122,825x = 70,961,500,996
  5. Step 5: Solve for x
    x = 70,961,500,996/122,825
  6. Step 6: Final answer
    x = 577,744.77

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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.