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Finding the Third Proportional to 233,380 and 349,998

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Solution

The third proportional to 233,380 and 349,998 is: 524,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,380 : 349,998 = 349,998 : x
  2. Step 2: Convert to fraction form
    233,380/349,998 = 349,998/x
  3. Step 3: Cross multiply
    233,380x = 349,998 × 349,998
  4. Step 4: Simplify right side
    233,380x = 122,498,600,004
  5. Step 5: Solve for x
    x = 122,498,600,004/233,380
  6. Step 6: Final answer
    x = 524,889.02

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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.