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Finding the Third Proportional to 238,437 and 360,087

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Solution

The third proportional to 238,437 and 360,087 is: 543,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,437 : 360,087 = 360,087 : x
  2. Step 2: Convert to fraction form
    238,437/360,087 = 360,087/x
  3. Step 3: Cross multiply
    238,437x = 360,087 × 360,087
  4. Step 4: Simplify right side
    238,437x = 129,662,647,569
  5. Step 5: Solve for x
    x = 129,662,647,569/238,437
  6. Step 6: Final answer
    x = 543,802.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.