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Finding the Third Proportional to 151,739 and 328,081

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Solution

The third proportional to 151,739 and 328,081 is: 709,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,739 : 328,081 = 328,081 : x
  2. Step 2: Convert to fraction form
    151,739/328,081 = 328,081/x
  3. Step 3: Cross multiply
    151,739x = 328,081 × 328,081
  4. Step 4: Simplify right side
    151,739x = 107,637,142,561
  5. Step 5: Solve for x
    x = 107,637,142,561/151,739
  6. Step 6: Final answer
    x = 709,357.14

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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.