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Finding the Third Proportional to 141,481.69 and 210,300.05

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Solution

The third proportional to 141,481.69 and 210,300.05 is: 312,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,481.69 : 210,300.05 = 210,300.05 : x
  2. Step 2: Convert to fraction form
    141,481.69/210,300.05 = 210,300.05/x
  3. Step 3: Cross multiply
    141,481.69x = 210,300.05 × 210,300.05
  4. Step 4: Simplify right side
    141,481.69x = 44,226,109,715.63
  5. Step 5: Solve for x
    x = 44,226,109,715.63/141,481.69
  6. Step 6: Final answer
    x = 312,592.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.