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Finding the Third Proportional to 164,439 and 352,206

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Solution

The third proportional to 164,439 and 352,206 is: 754,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,439 : 352,206 = 352,206 : x
  2. Step 2: Convert to fraction form
    164,439/352,206 = 352,206/x
  3. Step 3: Cross multiply
    164,439x = 352,206 × 352,206
  4. Step 4: Simplify right side
    164,439x = 124,049,066,436
  5. Step 5: Solve for x
    x = 124,049,066,436/164,439
  6. Step 6: Final answer
    x = 754,377.41

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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.