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Finding the Third Proportional to 191,052 and 415,273

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Solution

The third proportional to 191,052 and 415,273 is: 902,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,052 : 415,273 = 415,273 : x
  2. Step 2: Convert to fraction form
    191,052/415,273 = 415,273/x
  3. Step 3: Cross multiply
    191,052x = 415,273 × 415,273
  4. Step 4: Simplify right side
    191,052x = 172,451,664,529
  5. Step 5: Solve for x
    x = 172,451,664,529/191,052
  6. Step 6: Final answer
    x = 902,642.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.