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Finding the Third Proportional to 167,556 and 358,761

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Solution

The third proportional to 167,556 and 358,761 is: 768,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,556 : 358,761 = 358,761 : x
  2. Step 2: Convert to fraction form
    167,556/358,761 = 358,761/x
  3. Step 3: Cross multiply
    167,556x = 358,761 × 358,761
  4. Step 4: Simplify right side
    167,556x = 128,709,455,121
  5. Step 5: Solve for x
    x = 128,709,455,121/167,556
  6. Step 6: Final answer
    x = 768,157.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.