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Finding the Third Proportional to 184,776 and 257,439

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Solution

The third proportional to 184,776 and 257,439 is: 358,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,776 : 257,439 = 257,439 : x
  2. Step 2: Convert to fraction form
    184,776/257,439 = 257,439/x
  3. Step 3: Cross multiply
    184,776x = 257,439 × 257,439
  4. Step 4: Simplify right side
    184,776x = 66,274,838,721
  5. Step 5: Solve for x
    x = 66,274,838,721/184,776
  6. Step 6: Final answer
    x = 358,676.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.