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Finding the Third Proportional to 148,460 and 311,508

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Solution

The third proportional to 148,460 and 311,508 is: 653,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,460 : 311,508 = 311,508 : x
  2. Step 2: Convert to fraction form
    148,460/311,508 = 311,508/x
  3. Step 3: Cross multiply
    148,460x = 311,508 × 311,508
  4. Step 4: Simplify right side
    148,460x = 97,037,234,064
  5. Step 5: Solve for x
    x = 97,037,234,064/148,460
  6. Step 6: Final answer
    x = 653,625.45

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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.