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Finding the Third Proportional to 145,119 and 224,149

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Solution

The third proportional to 145,119 and 224,149 is: 346,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,119 : 224,149 = 224,149 : x
  2. Step 2: Convert to fraction form
    145,119/224,149 = 224,149/x
  3. Step 3: Cross multiply
    145,119x = 224,149 × 224,149
  4. Step 4: Simplify right side
    145,119x = 50,242,774,201
  5. Step 5: Solve for x
    x = 50,242,774,201/145,119
  6. Step 6: Final answer
    x = 346,217.75

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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.