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Finding the Third Proportional to 233,984 and 342,201

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Solution

The third proportional to 233,984 and 342,201 is: 500,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,984 : 342,201 = 342,201 : x
  2. Step 2: Convert to fraction form
    233,984/342,201 = 342,201/x
  3. Step 3: Cross multiply
    233,984x = 342,201 × 342,201
  4. Step 4: Simplify right side
    233,984x = 117,101,524,401
  5. Step 5: Solve for x
    x = 117,101,524,401/233,984
  6. Step 6: Final answer
    x = 500,468.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.