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Finding the Third Proportional to 168,907.50 and 367,020

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Solution

The third proportional to 168,907.50 and 367,020 is: 797,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,907.50 : 367,020 = 367,020 : x
  2. Step 2: Convert to fraction form
    168,907.50/367,020 = 367,020/x
  3. Step 3: Cross multiply
    168,907.50x = 367,020 × 367,020
  4. Step 4: Simplify right side
    168,907.50x = 134,703,680,400
  5. Step 5: Solve for x
    x = 134,703,680,400/168,907.50
  6. Step 6: Final answer
    x = 797,499.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.