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Finding the Third Proportional to 145,105.50 and 224,217

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Solution

The third proportional to 145,105.50 and 224,217 is: 346,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,105.50 : 224,217 = 224,217 : x
  2. Step 2: Convert to fraction form
    145,105.50/224,217 = 224,217/x
  3. Step 3: Cross multiply
    145,105.50x = 224,217 × 224,217
  4. Step 4: Simplify right side
    145,105.50x = 50,273,263,089
  5. Step 5: Solve for x
    x = 50,273,263,089/145,105.50
  6. Step 6: Final answer
    x = 346,460.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.