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Finding the Third Proportional to 218,040 and 328,140

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Solution

The third proportional to 218,040 and 328,140 is: 493,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,040 : 328,140 = 328,140 : x
  2. Step 2: Convert to fraction form
    218,040/328,140 = 328,140/x
  3. Step 3: Cross multiply
    218,040x = 328,140 × 328,140
  4. Step 4: Simplify right side
    218,040x = 107,675,859,600
  5. Step 5: Solve for x
    x = 107,675,859,600/218,040
  6. Step 6: Final answer
    x = 493,835.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.