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Finding the Third Proportional to 114,272 and 250,696

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Solution

The third proportional to 114,272 and 250,696 is: 549,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,272 : 250,696 = 250,696 : x
  2. Step 2: Convert to fraction form
    114,272/250,696 = 250,696/x
  3. Step 3: Cross multiply
    114,272x = 250,696 × 250,696
  4. Step 4: Simplify right side
    114,272x = 62,848,484,416
  5. Step 5: Solve for x
    x = 62,848,484,416/114,272
  6. Step 6: Final answer
    x = 549,990.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.