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Finding the Third Proportional to 70,362 and 154,398

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Solution

The third proportional to 70,362 and 154,398 is: 338,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,362 : 154,398 = 154,398 : x
  2. Step 2: Convert to fraction form
    70,362/154,398 = 154,398/x
  3. Step 3: Cross multiply
    70,362x = 154,398 × 154,398
  4. Step 4: Simplify right side
    70,362x = 23,838,742,404
  5. Step 5: Solve for x
    x = 23,838,742,404/70,362
  6. Step 6: Final answer
    x = 338,801.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.