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Finding the Third Proportional to 224,403 and 344,908.50

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Solution

The third proportional to 224,403 and 344,908.50 is: 530,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403 : 344,908.50 = 344,908.50 : x
  2. Step 2: Convert to fraction form
    224,403/344,908.50 = 344,908.50/x
  3. Step 3: Cross multiply
    224,403x = 344,908.50 × 344,908.50
  4. Step 4: Simplify right side
    224,403x = 118,961,873,372.25
  5. Step 5: Solve for x
    x = 118,961,873,372.25/224,403
  6. Step 6: Final answer
    x = 530,126.04

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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.