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Finding the Third Proportional to 128,380 and 191,862

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Solution

The third proportional to 128,380 and 191,862 is: 286,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,380 : 191,862 = 191,862 : x
  2. Step 2: Convert to fraction form
    128,380/191,862 = 191,862/x
  3. Step 3: Cross multiply
    128,380x = 191,862 × 191,862
  4. Step 4: Simplify right side
    128,380x = 36,811,027,044
  5. Step 5: Solve for x
    x = 36,811,027,044/128,380
  6. Step 6: Final answer
    x = 286,734.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.