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Finding the Third Proportional to 121,384 and 266,096

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Solution

The third proportional to 121,384 and 266,096 is: 583,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,384 : 266,096 = 266,096 : x
  2. Step 2: Convert to fraction form
    121,384/266,096 = 266,096/x
  3. Step 3: Cross multiply
    121,384x = 266,096 × 266,096
  4. Step 4: Simplify right side
    121,384x = 70,807,081,216
  5. Step 5: Solve for x
    x = 70,807,081,216/121,384
  6. Step 6: Final answer
    x = 583,331.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.