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Finding the Third Proportional to 157,044 and 345,191

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Solution

The third proportional to 157,044 and 345,191 is: 758,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,044 : 345,191 = 345,191 : x
  2. Step 2: Convert to fraction form
    157,044/345,191 = 345,191/x
  3. Step 3: Cross multiply
    157,044x = 345,191 × 345,191
  4. Step 4: Simplify right side
    157,044x = 119,156,826,481
  5. Step 5: Solve for x
    x = 119,156,826,481/157,044
  6. Step 6: Final answer
    x = 758,748.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.