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Finding the Third Proportional to 78,230.25 and 168,603.75

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Solution

The third proportional to 78,230.25 and 168,603.75 is: 363,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,230.25 : 168,603.75 = 168,603.75 : x
  2. Step 2: Convert to fraction form
    78,230.25/168,603.75 = 168,603.75/x
  3. Step 3: Cross multiply
    78,230.25x = 168,603.75 × 168,603.75
  4. Step 4: Simplify right side
    78,230.25x = 28,427,224,514.06
  5. Step 5: Solve for x
    x = 28,427,224,514.06/78,230.25
  6. Step 6: Final answer
    x = 363,378.93

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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.