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Finding the Third Proportional to 113,924 and 266,180

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Solution

The third proportional to 113,924 and 266,180 is: 621,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,924 : 266,180 = 266,180 : x
  2. Step 2: Convert to fraction form
    113,924/266,180 = 266,180/x
  3. Step 3: Cross multiply
    113,924x = 266,180 × 266,180
  4. Step 4: Simplify right side
    113,924x = 70,851,792,400
  5. Step 5: Solve for x
    x = 70,851,792,400/113,924
  6. Step 6: Final answer
    x = 621,921.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.