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Finding the Third Proportional to 233,286 and 349,863

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Solution

The third proportional to 233,286 and 349,863 is: 524,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286 : 349,863 = 349,863 : x
  2. Step 2: Convert to fraction form
    233,286/349,863 = 349,863/x
  3. Step 3: Cross multiply
    233,286x = 349,863 × 349,863
  4. Step 4: Simplify right side
    233,286x = 122,404,118,769
  5. Step 5: Solve for x
    x = 122,404,118,769/233,286
  6. Step 6: Final answer
    x = 524,695.52

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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.