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Finding the Third Proportional to 233,248 and 371,325

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Solution

The third proportional to 233,248 and 371,325 is: 591,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,248 : 371,325 = 371,325 : x
  2. Step 2: Convert to fraction form
    233,248/371,325 = 371,325/x
  3. Step 3: Cross multiply
    233,248x = 371,325 × 371,325
  4. Step 4: Simplify right side
    233,248x = 137,882,255,625
  5. Step 5: Solve for x
    x = 137,882,255,625/233,248
  6. Step 6: Final answer
    x = 591,140.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.