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Finding the Third Proportional to 145,848 and 224,995

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Solution

The third proportional to 145,848 and 224,995 is: 347,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,848 : 224,995 = 224,995 : x
  2. Step 2: Convert to fraction form
    145,848/224,995 = 224,995/x
  3. Step 3: Cross multiply
    145,848x = 224,995 × 224,995
  4. Step 4: Simplify right side
    145,848x = 50,622,750,025
  5. Step 5: Solve for x
    x = 50,622,750,025/145,848
  6. Step 6: Final answer
    x = 347,092.52

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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.