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Finding the Third Proportional to 148,448 and 311,484

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Solution

The third proportional to 148,448 and 311,484 is: 653,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,448 : 311,484 = 311,484 : x
  2. Step 2: Convert to fraction form
    148,448/311,484 = 311,484/x
  3. Step 3: Cross multiply
    148,448x = 311,484 × 311,484
  4. Step 4: Simplify right side
    148,448x = 97,022,282,256
  5. Step 5: Solve for x
    x = 97,022,282,256/148,448
  6. Step 6: Final answer
    x = 653,577.56

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Why These Related Problems?

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