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Finding the Third Proportional to 192,415.50 and 301,838.06

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Solution

The third proportional to 192,415.50 and 301,838.06 is: 473,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415.50 : 301,838.06 = 301,838.06 : x
  2. Step 2: Convert to fraction form
    192,415.50/301,838.06 = 301,838.06/x
  3. Step 3: Cross multiply
    192,415.50x = 301,838.06 × 301,838.06
  4. Step 4: Simplify right side
    192,415.50x = 91,106,215,973.75
  5. Step 5: Solve for x
    x = 91,106,215,973.75/192,415.50
  6. Step 6: Final answer
    x = 473,486.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.