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Finding the Third Proportional to 214,527 and 291,351.75

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Solution

The third proportional to 214,527 and 291,351.75 is: 395,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,527 : 291,351.75 = 291,351.75 : x
  2. Step 2: Convert to fraction form
    214,527/291,351.75 = 291,351.75/x
  3. Step 3: Cross multiply
    214,527x = 291,351.75 × 291,351.75
  4. Step 4: Simplify right side
    214,527x = 84,885,842,228.06
  5. Step 5: Solve for x
    x = 84,885,842,228.06/214,527
  6. Step 6: Final answer
    x = 395,688.39

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Why These Related Problems?

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