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Finding the Third Proportional to 164,278.13 and 253,671.75

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Solution

The third proportional to 164,278.13 and 253,671.75 is: 391,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,278.13 : 253,671.75 = 253,671.75 : x
  2. Step 2: Convert to fraction form
    164,278.13/253,671.75 = 253,671.75/x
  3. Step 3: Cross multiply
    164,278.13x = 253,671.75 × 253,671.75
  4. Step 4: Simplify right side
    164,278.13x = 64,349,356,748.06
  5. Step 5: Solve for x
    x = 64,349,356,748.06/164,278.13
  6. Step 6: Final answer
    x = 391,709.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.