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Finding the Third Proportional to 122,816 and 266,368

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Solution

The third proportional to 122,816 and 266,368 is: 577,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,816 : 266,368 = 266,368 : x
  2. Step 2: Convert to fraction form
    122,816/266,368 = 266,368/x
  3. Step 3: Cross multiply
    122,816x = 266,368 × 266,368
  4. Step 4: Simplify right side
    122,816x = 70,951,911,424
  5. Step 5: Solve for x
    x = 70,951,911,424/122,816
  6. Step 6: Final answer
    x = 577,709.02

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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.