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Finding the Third Proportional to 121,360 and 266,048

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Solution

The third proportional to 121,360 and 266,048 is: 583,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,360 : 266,048 = 266,048 : x
  2. Step 2: Convert to fraction form
    121,360/266,048 = 266,048/x
  3. Step 3: Cross multiply
    121,360x = 266,048 × 266,048
  4. Step 4: Simplify right side
    121,360x = 70,781,538,304
  5. Step 5: Solve for x
    x = 70,781,538,304/121,360
  6. Step 6: Final answer
    x = 583,236.14

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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.