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Finding the Third Proportional to 255,699 and 391,331.25

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Solution

The third proportional to 255,699 and 391,331.25 is: 598,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,699 : 391,331.25 = 391,331.25 : x
  2. Step 2: Convert to fraction form
    255,699/391,331.25 = 391,331.25/x
  3. Step 3: Cross multiply
    255,699x = 391,331.25 × 391,331.25
  4. Step 4: Simplify right side
    255,699x = 153,140,147,226.56
  5. Step 5: Solve for x
    x = 153,140,147,226.56/255,699
  6. Step 6: Final answer
    x = 598,907.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.