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Finding the Third Proportional to 214,436.25 and 315,416.25

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Solution

The third proportional to 214,436.25 and 315,416.25 is: 463,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,436.25 : 315,416.25 = 315,416.25 : x
  2. Step 2: Convert to fraction form
    214,436.25/315,416.25 = 315,416.25/x
  3. Step 3: Cross multiply
    214,436.25x = 315,416.25 × 315,416.25
  4. Step 4: Simplify right side
    214,436.25x = 99,487,410,764.06
  5. Step 5: Solve for x
    x = 99,487,410,764.06/214,436.25
  6. Step 6: Final answer
    x = 463,948.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.