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Finding the Third Proportional to 147,652 and 325,760

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Solution

The third proportional to 147,652 and 325,760 is: 718,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,652 : 325,760 = 325,760 : x
  2. Step 2: Convert to fraction form
    147,652/325,760 = 325,760/x
  3. Step 3: Cross multiply
    147,652x = 325,760 × 325,760
  4. Step 4: Simplify right side
    147,652x = 106,119,577,600
  5. Step 5: Solve for x
    x = 106,119,577,600/147,652
  6. Step 6: Final answer
    x = 718,714.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.