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Finding the Third Proportional to 170,706.50 and 367,565

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Solution

The third proportional to 170,706.50 and 367,565 is: 791,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,706.50 : 367,565 = 367,565 : x
  2. Step 2: Convert to fraction form
    170,706.50/367,565 = 367,565/x
  3. Step 3: Cross multiply
    170,706.50x = 367,565 × 367,565
  4. Step 4: Simplify right side
    170,706.50x = 135,104,029,225
  5. Step 5: Solve for x
    x = 135,104,029,225/170,706.50
  6. Step 6: Final answer
    x = 791,440.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.