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Finding the Third Proportional to 182,347.38 and 292,983.38

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Solution

The third proportional to 182,347.38 and 292,983.38 is: 470,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,347.38 : 292,983.38 = 292,983.38 : x
  2. Step 2: Convert to fraction form
    182,347.38/292,983.38 = 292,983.38/x
  3. Step 3: Cross multiply
    182,347.38x = 292,983.38 × 292,983.38
  4. Step 4: Simplify right side
    182,347.38x = 85,839,258,026.39
  5. Step 5: Solve for x
    x = 85,839,258,026.39/182,347.38
  6. Step 6: Final answer
    x = 470,745.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.