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Finding the Third Proportional to 144,900.56 and 318,702.94

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Solution

The third proportional to 144,900.56 and 318,702.94 is: 700,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,900.56 : 318,702.94 = 318,702.94 : x
  2. Step 2: Convert to fraction form
    144,900.56/318,702.94 = 318,702.94/x
  3. Step 3: Cross multiply
    144,900.56x = 318,702.94 × 318,702.94
  4. Step 4: Simplify right side
    144,900.56x = 101,571,562,371.13
  5. Step 5: Solve for x
    x = 101,571,562,371.13/144,900.56
  6. Step 6: Final answer
    x = 700,974.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.