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Finding the Third Proportional to 257,361 and 371,277

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Solution

The third proportional to 257,361 and 371,277 is: 535,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,361 : 371,277 = 371,277 : x
  2. Step 2: Convert to fraction form
    257,361/371,277 = 371,277/x
  3. Step 3: Cross multiply
    257,361x = 371,277 × 371,277
  4. Step 4: Simplify right side
    257,361x = 137,846,610,729
  5. Step 5: Solve for x
    x = 137,846,610,729/257,361
  6. Step 6: Final answer
    x = 535,615.77

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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.