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Finding the Third Proportional to 183,535.50 and 247,007

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Solution

The third proportional to 183,535.50 and 247,007 is: 332,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,535.50 : 247,007 = 247,007 : x
  2. Step 2: Convert to fraction form
    183,535.50/247,007 = 247,007/x
  3. Step 3: Cross multiply
    183,535.50x = 247,007 × 247,007
  4. Step 4: Simplify right side
    183,535.50x = 61,012,458,049
  5. Step 5: Solve for x
    x = 61,012,458,049/183,535.50
  6. Step 6: Final answer
    x = 332,428.65

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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.