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Finding the Third Proportional to 178,149 and 371,041

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Solution

The third proportional to 178,149 and 371,041 is: 772,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,149 : 371,041 = 371,041 : x
  2. Step 2: Convert to fraction form
    178,149/371,041 = 371,041/x
  3. Step 3: Cross multiply
    178,149x = 371,041 × 371,041
  4. Step 4: Simplify right side
    178,149x = 137,671,423,681
  5. Step 5: Solve for x
    x = 137,671,423,681/178,149
  6. Step 6: Final answer
    x = 772,788.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.