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Finding the Third Proportional to 164,478 and 352,308

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Solution

The third proportional to 164,478 and 352,308 is: 754,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,478 : 352,308 = 352,308 : x
  2. Step 2: Convert to fraction form
    164,478/352,308 = 352,308/x
  3. Step 3: Cross multiply
    164,478x = 352,308 × 352,308
  4. Step 4: Simplify right side
    164,478x = 124,120,926,864
  5. Step 5: Solve for x
    x = 124,120,926,864/164,478
  6. Step 6: Final answer
    x = 754,635.43

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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.