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Finding the Third Proportional to 143,250.75 and 314,044.88

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Solution

The third proportional to 143,250.75 and 314,044.88 is: 688,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,250.75 : 314,044.88 = 314,044.88 : x
  2. Step 2: Convert to fraction form
    143,250.75/314,044.88 = 314,044.88/x
  3. Step 3: Cross multiply
    143,250.75x = 314,044.88 × 314,044.88
  4. Step 4: Simplify right side
    143,250.75x = 98,624,183,513.77
  5. Step 5: Solve for x
    x = 98,624,183,513.77/143,250.75
  6. Step 6: Final answer
    x = 688,472.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.