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Finding the Third Proportional to 151,218 and 353,205

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Solution

The third proportional to 151,218 and 353,205 is: 824,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,218 : 353,205 = 353,205 : x
  2. Step 2: Convert to fraction form
    151,218/353,205 = 353,205/x
  3. Step 3: Cross multiply
    151,218x = 353,205 × 353,205
  4. Step 4: Simplify right side
    151,218x = 124,753,772,025
  5. Step 5: Solve for x
    x = 124,753,772,025/151,218
  6. Step 6: Final answer
    x = 824,992.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.