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Finding the Third Proportional to 141,193.13 and 197,488.13

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Solution

The third proportional to 141,193.13 and 197,488.13 is: 276,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.13 : 197,488.13 = 197,488.13 : x
  2. Step 2: Convert to fraction form
    141,193.13/197,488.13 = 197,488.13/x
  3. Step 3: Cross multiply
    141,193.13x = 197,488.13 × 197,488.13
  4. Step 4: Simplify right side
    141,193.13x = 39,001,559,516.02
  5. Step 5: Solve for x
    x = 39,001,559,516.02/141,193.13
  6. Step 6: Final answer
    x = 276,228.46

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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.