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Finding the Third Proportional to 167,575 and 359,138

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Solution

The third proportional to 167,575 and 359,138 is: 769,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,575 : 359,138 = 359,138 : x
  2. Step 2: Convert to fraction form
    167,575/359,138 = 359,138/x
  3. Step 3: Cross multiply
    167,575x = 359,138 × 359,138
  4. Step 4: Simplify right side
    167,575x = 128,980,103,044
  5. Step 5: Solve for x
    x = 128,980,103,044/167,575
  6. Step 6: Final answer
    x = 769,685.83

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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.