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Finding the Third Proportional to 164,117.25 and 356,244.19

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Solution

The third proportional to 164,117.25 and 356,244.19 is: 773,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,117.25 : 356,244.19 = 356,244.19 : x
  2. Step 2: Convert to fraction form
    164,117.25/356,244.19 = 356,244.19/x
  3. Step 3: Cross multiply
    164,117.25x = 356,244.19 × 356,244.19
  4. Step 4: Simplify right side
    164,117.25x = 126,909,921,127.54
  5. Step 5: Solve for x
    x = 126,909,921,127.54/164,117.25
  6. Step 6: Final answer
    x = 773,288.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.