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Finding the Third Proportional to 164,703 and 359,523

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Solution

The third proportional to 164,703 and 359,523 is: 784,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,703 : 359,523 = 359,523 : x
  2. Step 2: Convert to fraction form
    164,703/359,523 = 359,523/x
  3. Step 3: Cross multiply
    164,703x = 359,523 × 359,523
  4. Step 4: Simplify right side
    164,703x = 129,256,787,529
  5. Step 5: Solve for x
    x = 129,256,787,529/164,703
  6. Step 6: Final answer
    x = 784,787.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.