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Finding the Third Proportional to 148,621.50 and 323,487

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Solution

The third proportional to 148,621.50 and 323,487 is: 704,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,621.50 : 323,487 = 323,487 : x
  2. Step 2: Convert to fraction form
    148,621.50/323,487 = 323,487/x
  3. Step 3: Cross multiply
    148,621.50x = 323,487 × 323,487
  4. Step 4: Simplify right side
    148,621.50x = 104,643,839,169
  5. Step 5: Solve for x
    x = 104,643,839,169/148,621.50
  6. Step 6: Final answer
    x = 704,096.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.