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Finding the Third Proportional to 184,792 and 257,460

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Solution

The third proportional to 184,792 and 257,460 is: 358,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,792 : 257,460 = 257,460 : x
  2. Step 2: Convert to fraction form
    184,792/257,460 = 257,460/x
  3. Step 3: Cross multiply
    184,792x = 257,460 × 257,460
  4. Step 4: Simplify right side
    184,792x = 66,285,651,600
  5. Step 5: Solve for x
    x = 66,285,651,600/184,792
  6. Step 6: Final answer
    x = 358,704.12

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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.