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Finding the Third Proportional to 164,451 and 352,230

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Solution

The third proportional to 164,451 and 352,230 is: 754,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,451 : 352,230 = 352,230 : x
  2. Step 2: Convert to fraction form
    164,451/352,230 = 352,230/x
  3. Step 3: Cross multiply
    164,451x = 352,230 × 352,230
  4. Step 4: Simplify right side
    164,451x = 124,065,972,900
  5. Step 5: Solve for x
    x = 124,065,972,900/164,451
  6. Step 6: Final answer
    x = 754,425.17

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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.