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Finding the Third Proportional to 192,324 and 349,927.50

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Solution

The third proportional to 192,324 and 349,927.50 is: 636,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,324 : 349,927.50 = 349,927.50 : x
  2. Step 2: Convert to fraction form
    192,324/349,927.50 = 349,927.50/x
  3. Step 3: Cross multiply
    192,324x = 349,927.50 × 349,927.50
  4. Step 4: Simplify right side
    192,324x = 122,449,255,256.25
  5. Step 5: Solve for x
    x = 122,449,255,256.25/192,324
  6. Step 6: Final answer
    x = 636,682.14

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.