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Finding the Third Proportional to 233,148 and 349,722

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Solution

The third proportional to 233,148 and 349,722 is: 524,583

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,148 : 349,722 = 349,722 : x
  2. Step 2: Convert to fraction form
    233,148/349,722 = 349,722/x
  3. Step 3: Cross multiply
    233,148x = 349,722 × 349,722
  4. Step 4: Simplify right side
    233,148x = 122,305,477,284
  5. Step 5: Solve for x
    x = 122,305,477,284/233,148
  6. Step 6: Final answer
    x = 524,583

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.