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Finding the Third Proportional to 214,622.75 and 291,486.38

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Solution

The third proportional to 214,622.75 and 291,486.38 is: 395,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,622.75 : 291,486.38 = 291,486.38 : x
  2. Step 2: Convert to fraction form
    214,622.75/291,486.38 = 291,486.38/x
  3. Step 3: Cross multiply
    214,622.75x = 291,486.38 × 291,486.38
  4. Step 4: Simplify right side
    214,622.75x = 84,964,306,810.64
  5. Step 5: Solve for x
    x = 84,964,306,810.64/214,622.75
  6. Step 6: Final answer
    x = 395,877.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.