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Finding the Third Proportional to 146,036.44 and 315,427.88

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Solution

The third proportional to 146,036.44 and 315,427.88 is: 681,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,036.44 : 315,427.88 = 315,427.88 : x
  2. Step 2: Convert to fraction form
    146,036.44/315,427.88 = 315,427.88/x
  3. Step 3: Cross multiply
    146,036.44x = 315,427.88 × 315,427.88
  4. Step 4: Simplify right side
    146,036.44x = 99,494,744,327.02
  5. Step 5: Solve for x
    x = 99,494,744,327.02/146,036.44
  6. Step 6: Final answer
    x = 681,300.82

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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.