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Finding the Third Proportional to 214,522 and 315,586

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Solution

The third proportional to 214,522 and 315,586 is: 464,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,522 : 315,586 = 315,586 : x
  2. Step 2: Convert to fraction form
    214,522/315,586 = 315,586/x
  3. Step 3: Cross multiply
    214,522x = 315,586 × 315,586
  4. Step 4: Simplify right side
    214,522x = 99,594,523,396
  5. Step 5: Solve for x
    x = 99,594,523,396/214,522
  6. Step 6: Final answer
    x = 464,262.52

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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.