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Finding the Third Proportional to 233,248.50 and 349,794

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Solution

The third proportional to 233,248.50 and 349,794 is: 524,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,248.50 : 349,794 = 349,794 : x
  2. Step 2: Convert to fraction form
    233,248.50/349,794 = 349,794/x
  3. Step 3: Cross multiply
    233,248.50x = 349,794 × 349,794
  4. Step 4: Simplify right side
    233,248.50x = 122,355,842,436
  5. Step 5: Solve for x
    x = 122,355,842,436/233,248.50
  6. Step 6: Final answer
    x = 524,572.90

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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.