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Finding the Third Proportional to 143,572.50 and 211,212.56

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Solution

The third proportional to 143,572.50 and 211,212.56 is: 310,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,572.50 : 211,212.56 = 211,212.56 : x
  2. Step 2: Convert to fraction form
    143,572.50/211,212.56 = 211,212.56/x
  3. Step 3: Cross multiply
    143,572.50x = 211,212.56 × 211,212.56
  4. Step 4: Simplify right side
    143,572.50x = 44,610,746,557.82
  5. Step 5: Solve for x
    x = 44,610,746,557.82/143,572.50
  6. Step 6: Final answer
    x = 310,719.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.