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Finding the Third Proportional to 214,294.50 and 314,795.25

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Solution

The third proportional to 214,294.50 and 314,795.25 is: 462,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,294.50 : 314,795.25 = 314,795.25 : x
  2. Step 2: Convert to fraction form
    214,294.50/314,795.25 = 314,795.25/x
  3. Step 3: Cross multiply
    214,294.50x = 314,795.25 × 314,795.25
  4. Step 4: Simplify right side
    214,294.50x = 99,096,049,422.56
  5. Step 5: Solve for x
    x = 99,096,049,422.56/214,294.50
  6. Step 6: Final answer
    x = 462,429.27

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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.