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Finding the Third Proportional to 152,728 and 327,488

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Solution

The third proportional to 152,728 and 327,488 is: 702,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,728 : 327,488 = 327,488 : x
  2. Step 2: Convert to fraction form
    152,728/327,488 = 327,488/x
  3. Step 3: Cross multiply
    152,728x = 327,488 × 327,488
  4. Step 4: Simplify right side
    152,728x = 107,248,390,144
  5. Step 5: Solve for x
    x = 107,248,390,144/152,728
  6. Step 6: Final answer
    x = 702,218.26

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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.