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Finding the Third Proportional to 224,989.50 and 348,828.75

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Solution

The third proportional to 224,989.50 and 348,828.75 is: 540,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,989.50 : 348,828.75 = 348,828.75 : x
  2. Step 2: Convert to fraction form
    224,989.50/348,828.75 = 348,828.75/x
  3. Step 3: Cross multiply
    224,989.50x = 348,828.75 × 348,828.75
  4. Step 4: Simplify right side
    224,989.50x = 121,681,496,826.56
  5. Step 5: Solve for x
    x = 121,681,496,826.56/224,989.50
  6. Step 6: Final answer
    x = 540,831.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.