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Finding the Third Proportional to 145,114.13 and 224,238.38

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Solution

The third proportional to 145,114.13 and 224,238.38 is: 346,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,114.13 : 224,238.38 = 224,238.38 : x
  2. Step 2: Convert to fraction form
    145,114.13/224,238.38 = 224,238.38/x
  3. Step 3: Cross multiply
    145,114.13x = 224,238.38 × 224,238.38
  4. Step 4: Simplify right side
    145,114.13x = 50,282,848,822.64
  5. Step 5: Solve for x
    x = 50,282,848,822.64/145,114.13
  6. Step 6: Final answer
    x = 346,505.54

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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.