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Finding the Third Proportional to 122,823 and 266,382

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Solution

The third proportional to 122,823 and 266,382 is: 577,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,823 : 266,382 = 266,382 : x
  2. Step 2: Convert to fraction form
    122,823/266,382 = 266,382/x
  3. Step 3: Cross multiply
    122,823x = 266,382 × 266,382
  4. Step 4: Simplify right side
    122,823x = 70,959,369,924
  5. Step 5: Solve for x
    x = 70,959,369,924/122,823
  6. Step 6: Final answer
    x = 577,736.82

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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.