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Finding the Third Proportional to 85,293 and 199,260

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Solution

The third proportional to 85,293 and 199,260 is: 465,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,293 : 199,260 = 199,260 : x
  2. Step 2: Convert to fraction form
    85,293/199,260 = 199,260/x
  3. Step 3: Cross multiply
    85,293x = 199,260 × 199,260
  4. Step 4: Simplify right side
    85,293x = 39,704,547,600
  5. Step 5: Solve for x
    x = 39,704,547,600/85,293
  6. Step 6: Final answer
    x = 465,507.69

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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.