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Finding the Third Proportional to 140,348 and 215,714

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Solution

The third proportional to 140,348 and 215,714 is: 331,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,348 : 215,714 = 215,714 : x
  2. Step 2: Convert to fraction form
    140,348/215,714 = 215,714/x
  3. Step 3: Cross multiply
    140,348x = 215,714 × 215,714
  4. Step 4: Simplify right side
    140,348x = 46,532,529,796
  5. Step 5: Solve for x
    x = 46,532,529,796/140,348
  6. Step 6: Final answer
    x = 331,551.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.