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Finding the Third Proportional to 167,913.75 and 282,002.63

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Solution

The third proportional to 167,913.75 and 282,002.63 is: 473,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,913.75 : 282,002.63 = 282,002.63 : x
  2. Step 2: Convert to fraction form
    167,913.75/282,002.63 = 282,002.63/x
  3. Step 3: Cross multiply
    167,913.75x = 282,002.63 × 282,002.63
  4. Step 4: Simplify right side
    167,913.75x = 79,525,480,506.89
  5. Step 5: Solve for x
    x = 79,525,480,506.89/167,913.75
  6. Step 6: Final answer
    x = 473,609.10

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.