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Finding the Third Proportional to 152,215 and 328,562

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Solution

The third proportional to 152,215 and 328,562 is: 709,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,215 : 328,562 = 328,562 : x
  2. Step 2: Convert to fraction form
    152,215/328,562 = 328,562/x
  3. Step 3: Cross multiply
    152,215x = 328,562 × 328,562
  4. Step 4: Simplify right side
    152,215x = 107,952,987,844
  5. Step 5: Solve for x
    x = 107,952,987,844/152,215
  6. Step 6: Final answer
    x = 709,213.86

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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.