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Finding the Third Proportional to 161,132 and 354,440

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Solution

The third proportional to 161,132 and 354,440 is: 779,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,132 : 354,440 = 354,440 : x
  2. Step 2: Convert to fraction form
    161,132/354,440 = 354,440/x
  3. Step 3: Cross multiply
    161,132x = 354,440 × 354,440
  4. Step 4: Simplify right side
    161,132x = 125,627,713,600
  5. Step 5: Solve for x
    x = 125,627,713,600/161,132
  6. Step 6: Final answer
    x = 779,657.14

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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.