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Finding the Third Proportional to 152,214 and 328,559.50

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Solution

The third proportional to 152,214 and 328,559.50 is: 709,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,214 : 328,559.50 = 328,559.50 : x
  2. Step 2: Convert to fraction form
    152,214/328,559.50 = 328,559.50/x
  3. Step 3: Cross multiply
    152,214x = 328,559.50 × 328,559.50
  4. Step 4: Simplify right side
    152,214x = 107,951,345,040.25
  5. Step 5: Solve for x
    x = 107,951,345,040.25/152,214
  6. Step 6: Final answer
    x = 709,207.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.