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Finding the Third Proportional to 145,251 and 318,498.75

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Solution

The third proportional to 145,251 and 318,498.75 is: 698,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,251 : 318,498.75 = 318,498.75 : x
  2. Step 2: Convert to fraction form
    145,251/318,498.75 = 318,498.75/x
  3. Step 3: Cross multiply
    145,251x = 318,498.75 × 318,498.75
  4. Step 4: Simplify right side
    145,251x = 101,441,453,751.56
  5. Step 5: Solve for x
    x = 101,441,453,751.56/145,251
  6. Step 6: Final answer
    x = 698,387.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.