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Finding the Third Proportional to 102,337 and 215,278

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Solution

The third proportional to 102,337 and 215,278 is: 452,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,337 : 215,278 = 215,278 : x
  2. Step 2: Convert to fraction form
    102,337/215,278 = 215,278/x
  3. Step 3: Cross multiply
    102,337x = 215,278 × 215,278
  4. Step 4: Simplify right side
    102,337x = 46,344,617,284
  5. Step 5: Solve for x
    x = 46,344,617,284/102,337
  6. Step 6: Final answer
    x = 452,862.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.