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Finding the Third Proportional to 147,964 and 323,609

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Solution

The third proportional to 147,964 and 323,609 is: 707,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,964 : 323,609 = 323,609 : x
  2. Step 2: Convert to fraction form
    147,964/323,609 = 323,609/x
  3. Step 3: Cross multiply
    147,964x = 323,609 × 323,609
  4. Step 4: Simplify right side
    147,964x = 104,722,784,881
  5. Step 5: Solve for x
    x = 104,722,784,881/147,964
  6. Step 6: Final answer
    x = 707,758.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.