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Finding the Third Proportional to 141,203.25 and 197,501.63

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Solution

The third proportional to 141,203.25 and 197,501.63 is: 276,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,203.25 : 197,501.63 = 197,501.63 : x
  2. Step 2: Convert to fraction form
    141,203.25/197,501.63 = 197,501.63/x
  3. Step 3: Cross multiply
    141,203.25x = 197,501.63 × 197,501.63
  4. Step 4: Simplify right side
    141,203.25x = 39,006,891,877.64
  5. Step 5: Solve for x
    x = 39,006,891,877.64/141,203.25
  6. Step 6: Final answer
    x = 276,246.42

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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.