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Finding the Third Proportional to 161,137.48 and 354,439.23

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Solution

The third proportional to 161,137.48 and 354,439.23 is: 779,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,137.48 : 354,439.23 = 354,439.23 : x
  2. Step 2: Convert to fraction form
    161,137.48/354,439.23 = 354,439.23/x
  3. Step 3: Cross multiply
    161,137.48x = 354,439.23 × 354,439.23
  4. Step 4: Simplify right side
    161,137.48x = 125,627,168,095.28
  5. Step 5: Solve for x
    x = 125,627,168,095.28/161,137.48
  6. Step 6: Final answer
    x = 779,627.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.