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Finding the Third Proportional to 166,922 and 360,548

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Solution

The third proportional to 166,922 and 360,548 is: 778,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,922 : 360,548 = 360,548 : x
  2. Step 2: Convert to fraction form
    166,922/360,548 = 360,548/x
  3. Step 3: Cross multiply
    166,922x = 360,548 × 360,548
  4. Step 4: Simplify right side
    166,922x = 129,994,860,304
  5. Step 5: Solve for x
    x = 129,994,860,304/166,922
  6. Step 6: Final answer
    x = 778,776.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.