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Finding the Third Proportional to 182,274 and 245,377

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Solution

The third proportional to 182,274 and 245,377 is: 330,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,274 : 245,377 = 245,377 : x
  2. Step 2: Convert to fraction form
    182,274/245,377 = 245,377/x
  3. Step 3: Cross multiply
    182,274x = 245,377 × 245,377
  4. Step 4: Simplify right side
    182,274x = 60,209,872,129
  5. Step 5: Solve for x
    x = 60,209,872,129/182,274
  6. Step 6: Final answer
    x = 330,326.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.