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Finding the Third Proportional to 141,799 and 219,670

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Solution

The third proportional to 141,799 and 219,670 is: 340,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,799 : 219,670 = 219,670 : x
  2. Step 2: Convert to fraction form
    141,799/219,670 = 219,670/x
  3. Step 3: Cross multiply
    141,799x = 219,670 × 219,670
  4. Step 4: Simplify right side
    141,799x = 48,254,908,900
  5. Step 5: Solve for x
    x = 48,254,908,900/141,799
  6. Step 6: Final answer
    x = 340,305.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.