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Finding the Third Proportional to 69,303 and 150,261

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Solution

The third proportional to 69,303 and 150,261 is: 325,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,303 : 150,261 = 150,261 : x
  2. Step 2: Convert to fraction form
    69,303/150,261 = 150,261/x
  3. Step 3: Cross multiply
    69,303x = 150,261 × 150,261
  4. Step 4: Simplify right side
    69,303x = 22,578,368,121
  5. Step 5: Solve for x
    x = 22,578,368,121/69,303
  6. Step 6: Final answer
    x = 325,792.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.