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Finding the Third Proportional to 224,416.50 and 302,361

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Solution

The third proportional to 224,416.50 and 302,361 is: 407,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,416.50 : 302,361 = 302,361 : x
  2. Step 2: Convert to fraction form
    224,416.50/302,361 = 302,361/x
  3. Step 3: Cross multiply
    224,416.50x = 302,361 × 302,361
  4. Step 4: Simplify right side
    224,416.50x = 91,422,174,321
  5. Step 5: Solve for x
    x = 91,422,174,321/224,416.50
  6. Step 6: Final answer
    x = 407,377.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.