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Finding the Third Proportional to 169,328.25 and 370,140.38

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Solution

The third proportional to 169,328.25 and 370,140.38 is: 809,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,328.25 : 370,140.38 = 370,140.38 : x
  2. Step 2: Convert to fraction form
    169,328.25/370,140.38 = 370,140.38/x
  3. Step 3: Cross multiply
    169,328.25x = 370,140.38 × 370,140.38
  4. Step 4: Simplify right side
    169,328.25x = 137,003,897,205.14
  5. Step 5: Solve for x
    x = 137,003,897,205.14/169,328.25
  6. Step 6: Final answer
    x = 809,102.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.