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Finding the Third Proportional to 258,126 and 391,080

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Solution

The third proportional to 258,126 and 391,080 is: 592,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,126 : 391,080 = 391,080 : x
  2. Step 2: Convert to fraction form
    258,126/391,080 = 391,080/x
  3. Step 3: Cross multiply
    258,126x = 391,080 × 391,080
  4. Step 4: Simplify right side
    258,126x = 152,943,566,400
  5. Step 5: Solve for x
    x = 152,943,566,400/258,126
  6. Step 6: Final answer
    x = 592,515.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.