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Finding the Third Proportional to 152,724 and 328,048

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Solution

The third proportional to 152,724 and 328,048 is: 704,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,724 : 328,048 = 328,048 : x
  2. Step 2: Convert to fraction form
    152,724/328,048 = 328,048/x
  3. Step 3: Cross multiply
    152,724x = 328,048 × 328,048
  4. Step 4: Simplify right side
    152,724x = 107,615,490,304
  5. Step 5: Solve for x
    x = 107,615,490,304/152,724
  6. Step 6: Final answer
    x = 704,640.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.