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Finding the Third Proportional to 146,734.03 and 309,232.69

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Solution

The third proportional to 146,734.03 and 309,232.69 is: 651,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,734.03 : 309,232.69 = 309,232.69 : x
  2. Step 2: Convert to fraction form
    146,734.03/309,232.69 = 309,232.69/x
  3. Step 3: Cross multiply
    146,734.03x = 309,232.69 × 309,232.69
  4. Step 4: Simplify right side
    146,734.03x = 95,624,855,018.47
  5. Step 5: Solve for x
    x = 95,624,855,018.47/146,734.03
  6. Step 6: Final answer
    x = 651,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.