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Finding the Third Proportional to 257,512.50 and 346,523.25

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Solution

The third proportional to 257,512.50 and 346,523.25 is: 466,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,512.50 : 346,523.25 = 346,523.25 : x
  2. Step 2: Convert to fraction form
    257,512.50/346,523.25 = 346,523.25/x
  3. Step 3: Cross multiply
    257,512.50x = 346,523.25 × 346,523.25
  4. Step 4: Simplify right side
    257,512.50x = 120,078,362,790.56
  5. Step 5: Solve for x
    x = 120,078,362,790.56/257,512.50
  6. Step 6: Final answer
    x = 466,301.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.