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Finding the Third Proportional to 214,776 and 327,813.75

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Solution

The third proportional to 214,776 and 327,813.75 is: 500,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,776 : 327,813.75 = 327,813.75 : x
  2. Step 2: Convert to fraction form
    214,776/327,813.75 = 327,813.75/x
  3. Step 3: Cross multiply
    214,776x = 327,813.75 × 327,813.75
  4. Step 4: Simplify right side
    214,776x = 107,461,854,689.06
  5. Step 5: Solve for x
    x = 107,461,854,689.06/214,776
  6. Step 6: Final answer
    x = 500,343.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.