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Finding the Third Proportional to 152,959 and 328,061

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Solution

The third proportional to 152,959 and 328,061 is: 703,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,959 : 328,061 = 328,061 : x
  2. Step 2: Convert to fraction form
    152,959/328,061 = 328,061/x
  3. Step 3: Cross multiply
    152,959x = 328,061 × 328,061
  4. Step 4: Simplify right side
    152,959x = 107,624,019,721
  5. Step 5: Solve for x
    x = 107,624,019,721/152,959
  6. Step 6: Final answer
    x = 703,613.52

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Why These Related Problems?

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