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Finding the Third Proportional to 143,391.94 and 315,095.06

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Solution

The third proportional to 143,391.94 and 315,095.06 is: 692,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,391.94 : 315,095.06 = 315,095.06 : x
  2. Step 2: Convert to fraction form
    143,391.94/315,095.06 = 315,095.06/x
  3. Step 3: Cross multiply
    143,391.94x = 315,095.06 × 315,095.06
  4. Step 4: Simplify right side
    143,391.94x = 99,284,898,411.88
  5. Step 5: Solve for x
    x = 99,284,898,411.88/143,391.94
  6. Step 6: Final answer
    x = 692,402.24

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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.