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Finding the Third Proportional to 233,967 and 349,389

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Solution

The third proportional to 233,967 and 349,389 is: 521,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,967 : 349,389 = 349,389 : x
  2. Step 2: Convert to fraction form
    233,967/349,389 = 349,389/x
  3. Step 3: Cross multiply
    233,967x = 349,389 × 349,389
  4. Step 4: Simplify right side
    233,967x = 122,072,673,321
  5. Step 5: Solve for x
    x = 122,072,673,321/233,967
  6. Step 6: Final answer
    x = 521,751.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.