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Finding the Third Proportional to 78,225.75 and 182,715.75

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Solution

The third proportional to 78,225.75 and 182,715.75 is: 426,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,225.75 : 182,715.75 = 182,715.75 : x
  2. Step 2: Convert to fraction form
    78,225.75/182,715.75 = 182,715.75/x
  3. Step 3: Cross multiply
    78,225.75x = 182,715.75 × 182,715.75
  4. Step 4: Simplify right side
    78,225.75x = 33,385,045,298.06
  5. Step 5: Solve for x
    x = 33,385,045,298.06/78,225.75
  6. Step 6: Final answer
    x = 426,778.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.