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Finding the Third Proportional to 145,468 and 313,832

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Solution

The third proportional to 145,468 and 313,832 is: 677,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,468 : 313,832 = 313,832 : x
  2. Step 2: Convert to fraction form
    145,468/313,832 = 313,832/x
  3. Step 3: Cross multiply
    145,468x = 313,832 × 313,832
  4. Step 4: Simplify right side
    145,468x = 98,490,524,224
  5. Step 5: Solve for x
    x = 98,490,524,224/145,468
  6. Step 6: Final answer
    x = 677,059.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.