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Finding the Third Proportional to 122,835 and 266,406

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Solution

The third proportional to 122,835 and 266,406 is: 577,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,835 : 266,406 = 266,406 : x
  2. Step 2: Convert to fraction form
    122,835/266,406 = 266,406/x
  3. Step 3: Cross multiply
    122,835x = 266,406 × 266,406
  4. Step 4: Simplify right side
    122,835x = 70,972,156,836
  5. Step 5: Solve for x
    x = 70,972,156,836/122,835
  6. Step 6: Final answer
    x = 577,784.48

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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.