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Finding the Third Proportional to 214,178 and 452,468

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Solution

The third proportional to 214,178 and 452,468 is: 955,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,178 : 452,468 = 452,468 : x
  2. Step 2: Convert to fraction form
    214,178/452,468 = 452,468/x
  3. Step 3: Cross multiply
    214,178x = 452,468 × 452,468
  4. Step 4: Simplify right side
    214,178x = 204,727,291,024
  5. Step 5: Solve for x
    x = 204,727,291,024/214,178
  6. Step 6: Final answer
    x = 955,874.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.