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Finding the Third Proportional to 161,295 and 354,705

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Solution

The third proportional to 161,295 and 354,705 is: 780,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,295 : 354,705 = 354,705 : x
  2. Step 2: Convert to fraction form
    161,295/354,705 = 354,705/x
  3. Step 3: Cross multiply
    161,295x = 354,705 × 354,705
  4. Step 4: Simplify right side
    161,295x = 125,815,637,025
  5. Step 5: Solve for x
    x = 125,815,637,025/161,295
  6. Step 6: Final answer
    x = 780,034.33

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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.