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Finding the Third Proportional to 88,792 and 190,640

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Solution

The third proportional to 88,792 and 190,640 is: 409,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,792 : 190,640 = 190,640 : x
  2. Step 2: Convert to fraction form
    88,792/190,640 = 190,640/x
  3. Step 3: Cross multiply
    88,792x = 190,640 × 190,640
  4. Step 4: Simplify right side
    88,792x = 36,343,609,600
  5. Step 5: Solve for x
    x = 36,343,609,600/88,792
  6. Step 6: Final answer
    x = 409,311.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.