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Finding the Third Proportional to 125,257.13 and 262,822.88

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Solution

The third proportional to 125,257.13 and 262,822.88 is: 551,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,257.13 : 262,822.88 = 262,822.88 : x
  2. Step 2: Convert to fraction form
    125,257.13/262,822.88 = 262,822.88/x
  3. Step 3: Cross multiply
    125,257.13x = 262,822.88 × 262,822.88
  4. Step 4: Simplify right side
    125,257.13x = 69,075,863,623.27
  5. Step 5: Solve for x
    x = 69,075,863,623.27/125,257.13
  6. Step 6: Final answer
    x = 551,472.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.