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Finding the Third Proportional to 157,896.84 and 347,319.14

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Solution

The third proportional to 157,896.84 and 347,319.14 is: 763,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.84 : 347,319.14 = 347,319.14 : x
  2. Step 2: Convert to fraction form
    157,896.84/347,319.14 = 347,319.14/x
  3. Step 3: Cross multiply
    157,896.84x = 347,319.14 × 347,319.14
  4. Step 4: Simplify right side
    157,896.84x = 120,630,585,444.49
  5. Step 5: Solve for x
    x = 120,630,585,444.49/157,896.84
  6. Step 6: Final answer
    x = 763,983.51

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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.