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Finding the Third Proportional to 132,196 and 275,332

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Solution

The third proportional to 132,196 and 275,332 is: 573,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,196 : 275,332 = 275,332 : x
  2. Step 2: Convert to fraction form
    132,196/275,332 = 275,332/x
  3. Step 3: Cross multiply
    132,196x = 275,332 × 275,332
  4. Step 4: Simplify right side
    132,196x = 75,807,710,224
  5. Step 5: Solve for x
    x = 75,807,710,224/132,196
  6. Step 6: Final answer
    x = 573,449.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.