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Finding the Third Proportional to 165,230 and 354,446

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Solution

The third proportional to 165,230 and 354,446 is: 760,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,230 : 354,446 = 354,446 : x
  2. Step 2: Convert to fraction form
    165,230/354,446 = 354,446/x
  3. Step 3: Cross multiply
    165,230x = 354,446 × 354,446
  4. Step 4: Simplify right side
    165,230x = 125,631,966,916
  5. Step 5: Solve for x
    x = 125,631,966,916/165,230
  6. Step 6: Final answer
    x = 760,345.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.