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Finding the Third Proportional to 152,355 and 330,918

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Solution

The third proportional to 152,355 and 330,918 is: 718,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,355 : 330,918 = 330,918 : x
  2. Step 2: Convert to fraction form
    152,355/330,918 = 330,918/x
  3. Step 3: Cross multiply
    152,355x = 330,918 × 330,918
  4. Step 4: Simplify right side
    152,355x = 109,506,722,724
  5. Step 5: Solve for x
    x = 109,506,722,724/152,355
  6. Step 6: Final answer
    x = 718,760.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.