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Finding the Third Proportional to 179,019 and 386,061.75

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Solution

The third proportional to 179,019 and 386,061.75 is: 832,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,019 : 386,061.75 = 386,061.75 : x
  2. Step 2: Convert to fraction form
    179,019/386,061.75 = 386,061.75/x
  3. Step 3: Cross multiply
    179,019x = 386,061.75 × 386,061.75
  4. Step 4: Simplify right side
    179,019x = 149,043,674,813.06
  5. Step 5: Solve for x
    x = 149,043,674,813.06/179,019
  6. Step 6: Final answer
    x = 832,557.86

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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.