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Finding the Third Proportional to 233,954.25 and 349,372.25

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Solution

The third proportional to 233,954.25 and 349,372.25 is: 521,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,954.25 : 349,372.25 = 349,372.25 : x
  2. Step 2: Convert to fraction form
    233,954.25/349,372.25 = 349,372.25/x
  3. Step 3: Cross multiply
    233,954.25x = 349,372.25 × 349,372.25
  4. Step 4: Simplify right side
    233,954.25x = 122,060,969,070.06
  5. Step 5: Solve for x
    x = 122,060,969,070.06/233,954.25
  6. Step 6: Final answer
    x = 521,730.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.