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Finding the Third Proportional to 141,410 and 197,804

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Solution

The third proportional to 141,410 and 197,804 is: 276,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,410 : 197,804 = 197,804 : x
  2. Step 2: Convert to fraction form
    141,410/197,804 = 197,804/x
  3. Step 3: Cross multiply
    141,410x = 197,804 × 197,804
  4. Step 4: Simplify right side
    141,410x = 39,126,422,416
  5. Step 5: Solve for x
    x = 39,126,422,416/141,410
  6. Step 6: Final answer
    x = 276,687.80

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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.