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Finding the Third Proportional to 132,950.81 and 197,338.50

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Solution

The third proportional to 132,950.81 and 197,338.50 is: 292,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,950.81 : 197,338.50 = 197,338.50 : x
  2. Step 2: Convert to fraction form
    132,950.81/197,338.50 = 197,338.50/x
  3. Step 3: Cross multiply
    132,950.81x = 197,338.50 × 197,338.50
  4. Step 4: Simplify right side
    132,950.81x = 38,942,483,582.25
  5. Step 5: Solve for x
    x = 38,942,483,582.25/132,950.81
  6. Step 6: Final answer
    x = 292,908.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.