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Finding the Third Proportional to 148,440.38 and 311,459.63

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Solution

The third proportional to 148,440.38 and 311,459.63 is: 653,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,440.38 : 311,459.63 = 311,459.63 : x
  2. Step 2: Convert to fraction form
    148,440.38/311,459.63 = 311,459.63/x
  3. Step 3: Cross multiply
    148,440.38x = 311,459.63 × 311,459.63
  4. Step 4: Simplify right side
    148,440.38x = 97,007,098,005.14
  5. Step 5: Solve for x
    x = 97,007,098,005.14/148,440.38
  6. Step 6: Final answer
    x = 653,508.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.