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Finding the Third Proportional to 68,598 and 150,313.50

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Solution

The third proportional to 68,598 and 150,313.50 is: 329,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,598 : 150,313.50 = 150,313.50 : x
  2. Step 2: Convert to fraction form
    68,598/150,313.50 = 150,313.50/x
  3. Step 3: Cross multiply
    68,598x = 150,313.50 × 150,313.50
  4. Step 4: Simplify right side
    68,598x = 22,594,148,282.25
  5. Step 5: Solve for x
    x = 22,594,148,282.25/68,598
  6. Step 6: Final answer
    x = 329,370.36

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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.