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Finding the Third Proportional to 145,863.56 and 196,634.81

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Solution

The third proportional to 145,863.56 and 196,634.81 is: 265,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.56 : 196,634.81 = 196,634.81 : x
  2. Step 2: Convert to fraction form
    145,863.56/196,634.81 = 196,634.81/x
  3. Step 3: Cross multiply
    145,863.56x = 196,634.81 × 196,634.81
  4. Step 4: Simplify right side
    145,863.56x = 38,665,249,486.91
  5. Step 5: Solve for x
    x = 38,665,249,486.91/145,863.56
  6. Step 6: Final answer
    x = 265,078.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.