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Finding the Third Proportional to 233,159 and 349,741

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Solution

The third proportional to 233,159 and 349,741 is: 524,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,159 : 349,741 = 349,741 : x
  2. Step 2: Convert to fraction form
    233,159/349,741 = 349,741/x
  3. Step 3: Cross multiply
    233,159x = 349,741 × 349,741
  4. Step 4: Simplify right side
    233,159x = 122,318,767,081
  5. Step 5: Solve for x
    x = 122,318,767,081/233,159
  6. Step 6: Final answer
    x = 524,615.25

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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.