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Finding the Third Proportional to 214,468 and 282,023

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Solution

The third proportional to 214,468 and 282,023 is: 370,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,468 : 282,023 = 282,023 : x
  2. Step 2: Convert to fraction form
    214,468/282,023 = 282,023/x
  3. Step 3: Cross multiply
    214,468x = 282,023 × 282,023
  4. Step 4: Simplify right side
    214,468x = 79,536,972,529
  5. Step 5: Solve for x
    x = 79,536,972,529/214,468
  6. Step 6: Final answer
    x = 370,857.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.