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Finding the Third Proportional to 192,847.55 and 294,167.16

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Solution

The third proportional to 192,847.55 and 294,167.16 is: 448,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,847.55 : 294,167.16 = 294,167.16 : x
  2. Step 2: Convert to fraction form
    192,847.55/294,167.16 = 294,167.16/x
  3. Step 3: Cross multiply
    192,847.55x = 294,167.16 × 294,167.16
  4. Step 4: Simplify right side
    192,847.55x = 86,534,319,263.49
  5. Step 5: Solve for x
    x = 86,534,319,263.49/192,847.55
  6. Step 6: Final answer
    x = 448,718.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.