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Finding the Third Proportional to 138,792 and 308,640

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Solution

The third proportional to 138,792 and 308,640 is: 686,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,792 : 308,640 = 308,640 : x
  2. Step 2: Convert to fraction form
    138,792/308,640 = 308,640/x
  3. Step 3: Cross multiply
    138,792x = 308,640 × 308,640
  4. Step 4: Simplify right side
    138,792x = 95,258,649,600
  5. Step 5: Solve for x
    x = 95,258,649,600/138,792
  6. Step 6: Final answer
    x = 686,341.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.