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Finding the Third Proportional to 145,027.50 and 224,103

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Solution

The third proportional to 145,027.50 and 224,103 is: 346,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,027.50 : 224,103 = 224,103 : x
  2. Step 2: Convert to fraction form
    145,027.50/224,103 = 224,103/x
  3. Step 3: Cross multiply
    145,027.50x = 224,103 × 224,103
  4. Step 4: Simplify right side
    145,027.50x = 50,222,154,609
  5. Step 5: Solve for x
    x = 50,222,154,609/145,027.50
  6. Step 6: Final answer
    x = 346,294.01

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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.