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Finding the Third Proportional to 214,098 and 461,082

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Solution

The third proportional to 214,098 and 461,082 is: 992,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,098 : 461,082 = 461,082 : x
  2. Step 2: Convert to fraction form
    214,098/461,082 = 461,082/x
  3. Step 3: Cross multiply
    214,098x = 461,082 × 461,082
  4. Step 4: Simplify right side
    214,098x = 212,596,610,724
  5. Step 5: Solve for x
    x = 212,596,610,724/214,098
  6. Step 6: Final answer
    x = 992,987.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.