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Finding the Third Proportional to 161,640 and 351,259

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Solution

The third proportional to 161,640 and 351,259 is: 763,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,640 : 351,259 = 351,259 : x
  2. Step 2: Convert to fraction form
    161,640/351,259 = 351,259/x
  3. Step 3: Cross multiply
    161,640x = 351,259 × 351,259
  4. Step 4: Simplify right side
    161,640x = 123,382,885,081
  5. Step 5: Solve for x
    x = 123,382,885,081/161,640
  6. Step 6: Final answer
    x = 763,319.01

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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.