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Finding the Third Proportional to 136,553.63 and 298,120.50

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Solution

The third proportional to 136,553.63 and 298,120.50 is: 650,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,553.63 : 298,120.50 = 298,120.50 : x
  2. Step 2: Convert to fraction form
    136,553.63/298,120.50 = 298,120.50/x
  3. Step 3: Cross multiply
    136,553.63x = 298,120.50 × 298,120.50
  4. Step 4: Simplify right side
    136,553.63x = 88,875,832,520.25
  5. Step 5: Solve for x
    x = 88,875,832,520.25/136,553.63
  6. Step 6: Final answer
    x = 650,849.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.