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Finding the Third Proportional to 135,624 and 197,276

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Solution

The third proportional to 135,624 and 197,276 is: 286,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,624 : 197,276 = 197,276 : x
  2. Step 2: Convert to fraction form
    135,624/197,276 = 197,276/x
  3. Step 3: Cross multiply
    135,624x = 197,276 × 197,276
  4. Step 4: Simplify right side
    135,624x = 38,917,820,176
  5. Step 5: Solve for x
    x = 38,917,820,176/135,624
  6. Step 6: Final answer
    x = 286,953.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.