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Finding the Third Proportional to 254,035 and 371,516

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Solution

The third proportional to 254,035 and 371,516 is: 543,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,035 : 371,516 = 371,516 : x
  2. Step 2: Convert to fraction form
    254,035/371,516 = 371,516/x
  3. Step 3: Cross multiply
    254,035x = 371,516 × 371,516
  4. Step 4: Simplify right side
    254,035x = 138,024,138,256
  5. Step 5: Solve for x
    x = 138,024,138,256/254,035
  6. Step 6: Final answer
    x = 543,327.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.