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Finding the Third Proportional to 142,438.50 and 211,461.75

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Solution

The third proportional to 142,438.50 and 211,461.75 is: 313,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438.50 : 211,461.75 = 211,461.75 : x
  2. Step 2: Convert to fraction form
    142,438.50/211,461.75 = 211,461.75/x
  3. Step 3: Cross multiply
    142,438.50x = 211,461.75 × 211,461.75
  4. Step 4: Simplify right side
    142,438.50x = 44,716,071,713.06
  5. Step 5: Solve for x
    x = 44,716,071,713.06/142,438.50
  6. Step 6: Final answer
    x = 313,932.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.