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Finding the Third Proportional to 224,322 and 486,166.50

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Solution

The third proportional to 224,322 and 486,166.50 is: 1,053,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,322 : 486,166.50 = 486,166.50 : x
  2. Step 2: Convert to fraction form
    224,322/486,166.50 = 486,166.50/x
  3. Step 3: Cross multiply
    224,322x = 486,166.50 × 486,166.50
  4. Step 4: Simplify right side
    224,322x = 236,357,865,722.25
  5. Step 5: Solve for x
    x = 236,357,865,722.25/224,322
  6. Step 6: Final answer
    x = 1,053,654.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.