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Finding the Third Proportional to 145,844.75 and 224,989.50

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Solution

The third proportional to 145,844.75 and 224,989.50 is: 347,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,844.75 : 224,989.50 = 224,989.50 : x
  2. Step 2: Convert to fraction form
    145,844.75/224,989.50 = 224,989.50/x
  3. Step 3: Cross multiply
    145,844.75x = 224,989.50 × 224,989.50
  4. Step 4: Simplify right side
    145,844.75x = 50,620,275,110.25
  5. Step 5: Solve for x
    x = 50,620,275,110.25/145,844.75
  6. Step 6: Final answer
    x = 347,083.29

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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.