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Finding the Third Proportional to 184,785 and 257,452

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Solution

The third proportional to 184,785 and 257,452 is: 358,695.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,785 : 257,452 = 257,452 : x
  2. Step 2: Convert to fraction form
    184,785/257,452 = 257,452/x
  3. Step 3: Cross multiply
    184,785x = 257,452 × 257,452
  4. Step 4: Simplify right side
    184,785x = 66,281,532,304
  5. Step 5: Solve for x
    x = 66,281,532,304/184,785
  6. Step 6: Final answer
    x = 358,695.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.