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Finding the Third Proportional to 167,570 and 346,804

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Solution

The third proportional to 167,570 and 346,804 is: 717,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,570 : 346,804 = 346,804 : x
  2. Step 2: Convert to fraction form
    167,570/346,804 = 346,804/x
  3. Step 3: Cross multiply
    167,570x = 346,804 × 346,804
  4. Step 4: Simplify right side
    167,570x = 120,273,014,416
  5. Step 5: Solve for x
    x = 120,273,014,416/167,570
  6. Step 6: Final answer
    x = 717,747.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.