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Finding the Third Proportional to 257,984 and 371,595

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Solution

The third proportional to 257,984 and 371,595 is: 535,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,984 : 371,595 = 371,595 : x
  2. Step 2: Convert to fraction form
    257,984/371,595 = 371,595/x
  3. Step 3: Cross multiply
    257,984x = 371,595 × 371,595
  4. Step 4: Simplify right side
    257,984x = 138,082,844,025
  5. Step 5: Solve for x
    x = 138,082,844,025/257,984
  6. Step 6: Final answer
    x = 535,238.01

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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.