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Finding the Third Proportional to 224,403.75 and 344,904.75

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Solution

The third proportional to 224,403.75 and 344,904.75 is: 530,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403.75 : 344,904.75 = 344,904.75 : x
  2. Step 2: Convert to fraction form
    224,403.75/344,904.75 = 344,904.75/x
  3. Step 3: Cross multiply
    224,403.75x = 344,904.75 × 344,904.75
  4. Step 4: Simplify right side
    224,403.75x = 118,959,286,572.56
  5. Step 5: Solve for x
    x = 118,959,286,572.56/224,403.75
  6. Step 6: Final answer
    x = 530,112.74

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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.