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Finding the Third Proportional to 152,961.19 and 328,065.19

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Solution

The third proportional to 152,961.19 and 328,065.19 is: 703,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,961.19 : 328,065.19 = 328,065.19 : x
  2. Step 2: Convert to fraction form
    152,961.19/328,065.19 = 328,065.19/x
  3. Step 3: Cross multiply
    152,961.19x = 328,065.19 × 328,065.19
  4. Step 4: Simplify right side
    152,961.19x = 107,626,767,249.41
  5. Step 5: Solve for x
    x = 107,626,767,249.41/152,961.19
  6. Step 6: Final answer
    x = 703,621.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.