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Finding the Third Proportional to 184,778 and 257,442

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Solution

The third proportional to 184,778 and 257,442 is: 358,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,778 : 257,442 = 257,442 : x
  2. Step 2: Convert to fraction form
    184,778/257,442 = 257,442/x
  3. Step 3: Cross multiply
    184,778x = 257,442 × 257,442
  4. Step 4: Simplify right side
    184,778x = 66,276,383,364
  5. Step 5: Solve for x
    x = 66,276,383,364/184,778
  6. Step 6: Final answer
    x = 358,681.14

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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.