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Finding the Third Proportional to 147,662 and 323,929

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Solution

The third proportional to 147,662 and 323,929 is: 710,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,662 : 323,929 = 323,929 : x
  2. Step 2: Convert to fraction form
    147,662/323,929 = 323,929/x
  3. Step 3: Cross multiply
    147,662x = 323,929 × 323,929
  4. Step 4: Simplify right side
    147,662x = 104,929,997,041
  5. Step 5: Solve for x
    x = 104,929,997,041/147,662
  6. Step 6: Final answer
    x = 710,609.34

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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.