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Finding the Third Proportional to 141,863.19 and 210,784.94

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Solution

The third proportional to 141,863.19 and 210,784.94 is: 313,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,863.19 : 210,784.94 = 210,784.94 : x
  2. Step 2: Convert to fraction form
    141,863.19/210,784.94 = 210,784.94/x
  3. Step 3: Cross multiply
    141,863.19x = 210,784.94 × 210,784.94
  4. Step 4: Simplify right side
    141,863.19x = 44,430,289,876.88
  5. Step 5: Solve for x
    x = 44,430,289,876.88/141,863.19
  6. Step 6: Final answer
    x = 313,191.12

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Why These Related Problems?

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