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Finding the Third Proportional to 143,564 and 335,336

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Solution

The third proportional to 143,564 and 335,336 is: 783,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,564 : 335,336 = 335,336 : x
  2. Step 2: Convert to fraction form
    143,564/335,336 = 335,336/x
  3. Step 3: Cross multiply
    143,564x = 335,336 × 335,336
  4. Step 4: Simplify right side
    143,564x = 112,450,232,896
  5. Step 5: Solve for x
    x = 112,450,232,896/143,564
  6. Step 6: Final answer
    x = 783,275.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.