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Finding the Third Proportional to 117,792 and 256,320

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Solution

The third proportional to 117,792 and 256,320 is: 557,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,792 : 256,320 = 256,320 : x
  2. Step 2: Convert to fraction form
    117,792/256,320 = 256,320/x
  3. Step 3: Cross multiply
    117,792x = 256,320 × 256,320
  4. Step 4: Simplify right side
    117,792x = 65,699,942,400
  5. Step 5: Solve for x
    x = 65,699,942,400/117,792
  6. Step 6: Final answer
    x = 557,762.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.