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Finding the Third Proportional to 152,166 and 328,392

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Solution

The third proportional to 152,166 and 328,392 is: 708,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,166 : 328,392 = 328,392 : x
  2. Step 2: Convert to fraction form
    152,166/328,392 = 328,392/x
  3. Step 3: Cross multiply
    152,166x = 328,392 × 328,392
  4. Step 4: Simplify right side
    152,166x = 107,841,305,664
  5. Step 5: Solve for x
    x = 107,841,305,664/152,166
  6. Step 6: Final answer
    x = 708,708.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.