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Finding the Third Proportional to 257,360.50 and 371,274

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Solution

The third proportional to 257,360.50 and 371,274 is: 535,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,360.50 : 371,274 = 371,274 : x
  2. Step 2: Convert to fraction form
    257,360.50/371,274 = 371,274/x
  3. Step 3: Cross multiply
    257,360.50x = 371,274 × 371,274
  4. Step 4: Simplify right side
    257,360.50x = 137,844,383,076
  5. Step 5: Solve for x
    x = 137,844,383,076/257,360.50
  6. Step 6: Final answer
    x = 535,608.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.