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Finding the Third Proportional to 240,167 and 343,240

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Solution

The third proportional to 240,167 and 343,240 is: 490,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,167 : 343,240 = 343,240 : x
  2. Step 2: Convert to fraction form
    240,167/343,240 = 343,240/x
  3. Step 3: Cross multiply
    240,167x = 343,240 × 343,240
  4. Step 4: Simplify right side
    240,167x = 117,813,697,600
  5. Step 5: Solve for x
    x = 117,813,697,600/240,167
  6. Step 6: Final answer
    x = 490,549.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.