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Finding the Third Proportional to 233,305 and 349,871

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Solution

The third proportional to 233,305 and 349,871 is: 524,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,305 : 349,871 = 349,871 : x
  2. Step 2: Convert to fraction form
    233,305/349,871 = 349,871/x
  3. Step 3: Cross multiply
    233,305x = 349,871 × 349,871
  4. Step 4: Simplify right side
    233,305x = 122,409,716,641
  5. Step 5: Solve for x
    x = 122,409,716,641/233,305
  6. Step 6: Final answer
    x = 524,676.78

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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.