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Finding the Third Proportional to 224,250 and 346,290

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Solution

The third proportional to 224,250 and 346,290 is: 534,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,250 : 346,290 = 346,290 : x
  2. Step 2: Convert to fraction form
    224,250/346,290 = 346,290/x
  3. Step 3: Cross multiply
    224,250x = 346,290 × 346,290
  4. Step 4: Simplify right side
    224,250x = 119,916,764,100
  5. Step 5: Solve for x
    x = 119,916,764,100/224,250
  6. Step 6: Final answer
    x = 534,745.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.