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Finding the Third Proportional to 138,896 and 287,640

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Solution

The third proportional to 138,896 and 287,640 is: 595,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,896 : 287,640 = 287,640 : x
  2. Step 2: Convert to fraction form
    138,896/287,640 = 287,640/x
  3. Step 3: Cross multiply
    138,896x = 287,640 × 287,640
  4. Step 4: Simplify right side
    138,896x = 82,736,769,600
  5. Step 5: Solve for x
    x = 82,736,769,600/138,896
  6. Step 6: Final answer
    x = 595,674.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.