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Finding the Third Proportional to 233,282 and 349,860

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Solution

The third proportional to 233,282 and 349,860 is: 524,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,282 : 349,860 = 349,860 : x
  2. Step 2: Convert to fraction form
    233,282/349,860 = 349,860/x
  3. Step 3: Cross multiply
    233,282x = 349,860 × 349,860
  4. Step 4: Simplify right side
    233,282x = 122,402,019,600
  5. Step 5: Solve for x
    x = 122,402,019,600/233,282
  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.