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Finding the Third Proportional to 92,312.50 and 217,339

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Solution

The third proportional to 92,312.50 and 217,339 is: 511,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,312.50 : 217,339 = 217,339 : x
  2. Step 2: Convert to fraction form
    92,312.50/217,339 = 217,339/x
  3. Step 3: Cross multiply
    92,312.50x = 217,339 × 217,339
  4. Step 4: Simplify right side
    92,312.50x = 47,236,240,921
  5. Step 5: Solve for x
    x = 47,236,240,921/92,312.50
  6. Step 6: Final answer
    x = 511,699.29

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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.