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Finding the Third Proportional to 141,411 and 197,805

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Solution

The third proportional to 141,411 and 197,805 is: 276,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,411 : 197,805 = 197,805 : x
  2. Step 2: Convert to fraction form
    141,411/197,805 = 197,805/x
  3. Step 3: Cross multiply
    141,411x = 197,805 × 197,805
  4. Step 4: Simplify right side
    141,411x = 39,126,818,025
  5. Step 5: Solve for x
    x = 39,126,818,025/141,411
  6. Step 6: Final answer
    x = 276,688.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.