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Finding the Third Proportional to 171,274.50 and 243,438.75

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Solution

The third proportional to 171,274.50 and 243,438.75 is: 346,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,274.50 : 243,438.75 = 243,438.75 : x
  2. Step 2: Convert to fraction form
    171,274.50/243,438.75 = 243,438.75/x
  3. Step 3: Cross multiply
    171,274.50x = 243,438.75 × 243,438.75
  4. Step 4: Simplify right side
    171,274.50x = 59,262,425,001.56
  5. Step 5: Solve for x
    x = 59,262,425,001.56/171,274.50
  6. Step 6: Final answer
    x = 346,008.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.