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Finding the Third Proportional to 120,835.13 and 262,428.19

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Solution

The third proportional to 120,835.13 and 262,428.19 is: 569,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,835.13 : 262,428.19 = 262,428.19 : x
  2. Step 2: Convert to fraction form
    120,835.13/262,428.19 = 262,428.19/x
  3. Step 3: Cross multiply
    120,835.13x = 262,428.19 × 262,428.19
  4. Step 4: Simplify right side
    120,835.13x = 68,868,553,594.54
  5. Step 5: Solve for x
    x = 68,868,553,594.54/120,835.13
  6. Step 6: Final answer
    x = 569,938.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.