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Finding the Third Proportional to 146,494.13 and 313,724.25

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Solution

The third proportional to 146,494.13 and 313,724.25 is: 671,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,494.13 : 313,724.25 = 313,724.25 : x
  2. Step 2: Convert to fraction form
    146,494.13/313,724.25 = 313,724.25/x
  3. Step 3: Cross multiply
    146,494.13x = 313,724.25 × 313,724.25
  4. Step 4: Simplify right side
    146,494.13x = 98,422,905,038.06
  5. Step 5: Solve for x
    x = 98,422,905,038.06/146,494.13
  6. Step 6: Final answer
    x = 671,855.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.