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Finding the Third Proportional to 138,768.19 and 298,948.50

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Solution

The third proportional to 138,768.19 and 298,948.50 is: 644,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768.19 : 298,948.50 = 298,948.50 : x
  2. Step 2: Convert to fraction form
    138,768.19/298,948.50 = 298,948.50/x
  3. Step 3: Cross multiply
    138,768.19x = 298,948.50 × 298,948.50
  4. Step 4: Simplify right side
    138,768.19x = 89,370,205,652.25
  5. Step 5: Solve for x
    x = 89,370,205,652.25/138,768.19
  6. Step 6: Final answer
    x = 644,025.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.