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Finding the Third Proportional to 122,282 and 266,070

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Solution

The third proportional to 122,282 and 266,070 is: 578,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,282 : 266,070 = 266,070 : x
  2. Step 2: Convert to fraction form
    122,282/266,070 = 266,070/x
  3. Step 3: Cross multiply
    122,282x = 266,070 × 266,070
  4. Step 4: Simplify right side
    122,282x = 70,793,244,900
  5. Step 5: Solve for x
    x = 70,793,244,900/122,282
  6. Step 6: Final answer
    x = 578,934.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.