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Finding the Third Proportional to 125,266 and 274,664

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Solution

The third proportional to 125,266 and 274,664 is: 602,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,266 : 274,664 = 274,664 : x
  2. Step 2: Convert to fraction form
    125,266/274,664 = 274,664/x
  3. Step 3: Cross multiply
    125,266x = 274,664 × 274,664
  4. Step 4: Simplify right side
    125,266x = 75,440,312,896
  5. Step 5: Solve for x
    x = 75,440,312,896/125,266
  6. Step 6: Final answer
    x = 602,240.93

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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.