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Finding the Third Proportional to 92,295 and 217,309.50

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Solution

The third proportional to 92,295 and 217,309.50 is: 511,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,295 : 217,309.50 = 217,309.50 : x
  2. Step 2: Convert to fraction form
    92,295/217,309.50 = 217,309.50/x
  3. Step 3: Cross multiply
    92,295x = 217,309.50 × 217,309.50
  4. Step 4: Simplify right side
    92,295x = 47,223,418,790.25
  5. Step 5: Solve for x
    x = 47,223,418,790.25/92,295
  6. Step 6: Final answer
    x = 511,657.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.