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Finding the Third Proportional to 164,145 and 352,810

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Solution

The third proportional to 164,145 and 352,810 is: 758,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,145 : 352,810 = 352,810 : x
  2. Step 2: Convert to fraction form
    164,145/352,810 = 352,810/x
  3. Step 3: Cross multiply
    164,145x = 352,810 × 352,810
  4. Step 4: Simplify right side
    164,145x = 124,474,896,100
  5. Step 5: Solve for x
    x = 124,474,896,100/164,145
  6. Step 6: Final answer
    x = 758,322.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.