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Finding the Third Proportional to 184,275 and 277,711.03

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Solution

The third proportional to 184,275 and 277,711.03 is: 418,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,275 : 277,711.03 = 277,711.03 : x
  2. Step 2: Convert to fraction form
    184,275/277,711.03 = 277,711.03/x
  3. Step 3: Cross multiply
    184,275x = 277,711.03 × 277,711.03
  4. Step 4: Simplify right side
    184,275x = 77,123,416,877.94
  5. Step 5: Solve for x
    x = 77,123,416,877.94/184,275
  6. Step 6: Final answer
    x = 418,523.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.