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Finding the Third Proportional to 141,804 and 219,543.75

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Solution

The third proportional to 141,804 and 219,543.75 is: 339,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,804 : 219,543.75 = 219,543.75 : x
  2. Step 2: Convert to fraction form
    141,804/219,543.75 = 219,543.75/x
  3. Step 3: Cross multiply
    141,804x = 219,543.75 × 219,543.75
  4. Step 4: Simplify right side
    141,804x = 48,199,458,164.06
  5. Step 5: Solve for x
    x = 48,199,458,164.06/141,804
  6. Step 6: Final answer
    x = 339,901.96

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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.