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Finding the Third Proportional to 165,465.50 and 350,431.50

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Solution

The third proportional to 165,465.50 and 350,431.50 is: 742,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,465.50 : 350,431.50 = 350,431.50 : x
  2. Step 2: Convert to fraction form
    165,465.50/350,431.50 = 350,431.50/x
  3. Step 3: Cross multiply
    165,465.50x = 350,431.50 × 350,431.50
  4. Step 4: Simplify right side
    165,465.50x = 122,802,236,192.25
  5. Step 5: Solve for x
    x = 122,802,236,192.25/165,465.50
  6. Step 6: Final answer
    x = 742,162.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.