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Finding the Third Proportional to 142,442.72 and 303,951.23

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Solution

The third proportional to 142,442.72 and 303,951.23 is: 648,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,442.72 : 303,951.23 = 303,951.23 : x
  2. Step 2: Convert to fraction form
    142,442.72/303,951.23 = 303,951.23/x
  3. Step 3: Cross multiply
    142,442.72x = 303,951.23 × 303,951.23
  4. Step 4: Simplify right side
    142,442.72x = 92,386,352,878.09
  5. Step 5: Solve for x
    x = 92,386,352,878.09/142,442.72
  6. Step 6: Final answer
    x = 648,586.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.