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Finding the Third Proportional to 145,815.19 and 224,942.06

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Solution

The third proportional to 145,815.19 and 224,942.06 is: 347,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,815.19 : 224,942.06 = 224,942.06 : x
  2. Step 2: Convert to fraction form
    145,815.19/224,942.06 = 224,942.06/x
  3. Step 3: Cross multiply
    145,815.19x = 224,942.06 × 224,942.06
  4. Step 4: Simplify right side
    145,815.19x = 50,598,931,481.75
  5. Step 5: Solve for x
    x = 50,598,931,481.75/145,815.19
  6. Step 6: Final answer
    x = 347,007.28

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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.