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Finding the Third Proportional to 150,459.75 and 313,529.06

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Solution

The third proportional to 150,459.75 and 313,529.06 is: 653,334.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,459.75 : 313,529.06 = 313,529.06 : x
  2. Step 2: Convert to fraction form
    150,459.75/313,529.06 = 313,529.06/x
  3. Step 3: Cross multiply
    150,459.75x = 313,529.06 × 313,529.06
  4. Step 4: Simplify right side
    150,459.75x = 98,300,473,032.13
  5. Step 5: Solve for x
    x = 98,300,473,032.13/150,459.75
  6. Step 6: Final answer
    x = 653,334.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.