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Finding the Third Proportional to 147,698 and 324,919

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Solution

The third proportional to 147,698 and 324,919 is: 714,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,698 : 324,919 = 324,919 : x
  2. Step 2: Convert to fraction form
    147,698/324,919 = 324,919/x
  3. Step 3: Cross multiply
    147,698x = 324,919 × 324,919
  4. Step 4: Simplify right side
    147,698x = 105,572,356,561
  5. Step 5: Solve for x
    x = 105,572,356,561/147,698
  6. Step 6: Final answer
    x = 714,785.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.