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Finding the Third Proportional to 233,213 and 349,750

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Solution

The third proportional to 233,213 and 349,750 is: 524,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,213 : 349,750 = 349,750 : x
  2. Step 2: Convert to fraction form
    233,213/349,750 = 349,750/x
  3. Step 3: Cross multiply
    233,213x = 349,750 × 349,750
  4. Step 4: Simplify right side
    233,213x = 122,325,062,500
  5. Step 5: Solve for x
    x = 122,325,062,500/233,213
  6. Step 6: Final answer
    x = 524,520.77

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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.