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Finding the Third Proportional to 161,084 and 348,716

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Solution

The third proportional to 161,084 and 348,716 is: 754,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,084 : 348,716 = 348,716 : x
  2. Step 2: Convert to fraction form
    161,084/348,716 = 348,716/x
  3. Step 3: Cross multiply
    161,084x = 348,716 × 348,716
  4. Step 4: Simplify right side
    161,084x = 121,602,848,656
  5. Step 5: Solve for x
    x = 121,602,848,656/161,084
  6. Step 6: Final answer
    x = 754,903.33

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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.