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Finding the Third Proportional to 182,550 and 392,262

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Solution

The third proportional to 182,550 and 392,262 is: 842,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,550 : 392,262 = 392,262 : x
  2. Step 2: Convert to fraction form
    182,550/392,262 = 392,262/x
  3. Step 3: Cross multiply
    182,550x = 392,262 × 392,262
  4. Step 4: Simplify right side
    182,550x = 153,869,476,644
  5. Step 5: Solve for x
    x = 153,869,476,644/182,550
  6. Step 6: Final answer
    x = 842,889.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.