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Finding the Third Proportional to 167,564 and 361,364

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Solution

The third proportional to 167,564 and 361,364 is: 779,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,564 : 361,364 = 361,364 : x
  2. Step 2: Convert to fraction form
    167,564/361,364 = 361,364/x
  3. Step 3: Cross multiply
    167,564x = 361,364 × 361,364
  4. Step 4: Simplify right side
    167,564x = 130,583,940,496
  5. Step 5: Solve for x
    x = 130,583,940,496/167,564
  6. Step 6: Final answer
    x = 779,307.85

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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.