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Finding the Third Proportional to 164,441 and 352,210

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Solution

The third proportional to 164,441 and 352,210 is: 754,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,441 : 352,210 = 352,210 : x
  2. Step 2: Convert to fraction form
    164,441/352,210 = 352,210/x
  3. Step 3: Cross multiply
    164,441x = 352,210 × 352,210
  4. Step 4: Simplify right side
    164,441x = 124,051,884,100
  5. Step 5: Solve for x
    x = 124,051,884,100/164,441
  6. Step 6: Final answer
    x = 754,385.37

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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.