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Finding the Third Proportional to 143,957.25 and 229,989.38

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Solution

The third proportional to 143,957.25 and 229,989.38 is: 367,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,957.25 : 229,989.38 = 229,989.38 : x
  2. Step 2: Convert to fraction form
    143,957.25/229,989.38 = 229,989.38/x
  3. Step 3: Cross multiply
    143,957.25x = 229,989.38 × 229,989.38
  4. Step 4: Simplify right side
    143,957.25x = 52,895,112,612.89
  5. Step 5: Solve for x
    x = 52,895,112,612.89/143,957.25
  6. Step 6: Final answer
    x = 367,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.