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Finding the Third Proportional to 135,513 and 198,409.50

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Solution

The third proportional to 135,513 and 198,409.50 is: 290,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,513 : 198,409.50 = 198,409.50 : x
  2. Step 2: Convert to fraction form
    135,513/198,409.50 = 198,409.50/x
  3. Step 3: Cross multiply
    135,513x = 198,409.50 × 198,409.50
  4. Step 4: Simplify right side
    135,513x = 39,366,329,690.25
  5. Step 5: Solve for x
    x = 39,366,329,690.25/135,513
  6. Step 6: Final answer
    x = 290,498.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.