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Finding the Third Proportional to 157,826 and 234,339

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Solution

The third proportional to 157,826 and 234,339 is: 347,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,826 : 234,339 = 234,339 : x
  2. Step 2: Convert to fraction form
    157,826/234,339 = 234,339/x
  3. Step 3: Cross multiply
    157,826x = 234,339 × 234,339
  4. Step 4: Simplify right side
    157,826x = 54,914,766,921
  5. Step 5: Solve for x
    x = 54,914,766,921/157,826
  6. Step 6: Final answer
    x = 347,945.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.