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Finding the Third Proportional to 233,952.75 and 349,369.50

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Solution

The third proportional to 233,952.75 and 349,369.50 is: 521,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,952.75 : 349,369.50 = 349,369.50 : x
  2. Step 2: Convert to fraction form
    233,952.75/349,369.50 = 349,369.50/x
  3. Step 3: Cross multiply
    233,952.75x = 349,369.50 × 349,369.50
  4. Step 4: Simplify right side
    233,952.75x = 122,059,047,530.25
  5. Step 5: Solve for x
    x = 122,059,047,530.25/233,952.75
  6. Step 6: Final answer
    x = 521,725.21

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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.