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Finding the Third Proportional to 78,844 and 175,202

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Solution

The third proportional to 78,844 and 175,202 is: 389,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,844 : 175,202 = 175,202 : x
  2. Step 2: Convert to fraction form
    78,844/175,202 = 175,202/x
  3. Step 3: Cross multiply
    78,844x = 175,202 × 175,202
  4. Step 4: Simplify right side
    78,844x = 30,695,740,804
  5. Step 5: Solve for x
    x = 30,695,740,804/78,844
  6. Step 6: Final answer
    x = 389,322.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.