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Finding the Third Proportional to 145,094.63 and 224,202.94

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Solution

The third proportional to 145,094.63 and 224,202.94 is: 346,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,094.63 : 224,202.94 = 224,202.94 : x
  2. Step 2: Convert to fraction form
    145,094.63/224,202.94 = 224,202.94/x
  3. Step 3: Cross multiply
    145,094.63x = 224,202.94 × 224,202.94
  4. Step 4: Simplify right side
    145,094.63x = 50,266,957,183.63
  5. Step 5: Solve for x
    x = 50,266,957,183.63/145,094.63
  6. Step 6: Final answer
    x = 346,442.59

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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.