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Finding the Third Proportional to 182,988 and 292,221

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Solution

The third proportional to 182,988 and 292,221 is: 466,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,988 : 292,221 = 292,221 : x
  2. Step 2: Convert to fraction form
    182,988/292,221 = 292,221/x
  3. Step 3: Cross multiply
    182,988x = 292,221 × 292,221
  4. Step 4: Simplify right side
    182,988x = 85,393,112,841
  5. Step 5: Solve for x
    x = 85,393,112,841/182,988
  6. Step 6: Final answer
    x = 466,659.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.