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Finding the Third Proportional to 161,082 and 348,711.75

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Solution

The third proportional to 161,082 and 348,711.75 is: 754,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,082 : 348,711.75 = 348,711.75 : x
  2. Step 2: Convert to fraction form
    161,082/348,711.75 = 348,711.75/x
  3. Step 3: Cross multiply
    161,082x = 348,711.75 × 348,711.75
  4. Step 4: Simplify right side
    161,082x = 121,599,884,588.06
  5. Step 5: Solve for x
    x = 121,599,884,588.06/161,082
  6. Step 6: Final answer
    x = 754,894.31

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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.