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Finding the Third Proportional to 147,714 and 324,951

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Solution

The third proportional to 147,714 and 324,951 is: 714,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,714 : 324,951 = 324,951 : x
  2. Step 2: Convert to fraction form
    147,714/324,951 = 324,951/x
  3. Step 3: Cross multiply
    147,714x = 324,951 × 324,951
  4. Step 4: Simplify right side
    147,714x = 105,593,152,401
  5. Step 5: Solve for x
    x = 105,593,152,401/147,714
  6. Step 6: Final answer
    x = 714,848.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.