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Finding the Third Proportional to 125,343 and 275,490

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Solution

The third proportional to 125,343 and 275,490 is: 605,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,343 : 275,490 = 275,490 : x
  2. Step 2: Convert to fraction form
    125,343/275,490 = 275,490/x
  3. Step 3: Cross multiply
    125,343x = 275,490 × 275,490
  4. Step 4: Simplify right side
    125,343x = 75,894,740,100
  5. Step 5: Solve for x
    x = 75,894,740,100/125,343
  6. Step 6: Final answer
    x = 605,496.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.