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Finding the Third Proportional to 167,278.50 and 238,461

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Solution

The third proportional to 167,278.50 and 238,461 is: 339,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,278.50 : 238,461 = 238,461 : x
  2. Step 2: Convert to fraction form
    167,278.50/238,461 = 238,461/x
  3. Step 3: Cross multiply
    167,278.50x = 238,461 × 238,461
  4. Step 4: Simplify right side
    167,278.50x = 56,863,648,521
  5. Step 5: Solve for x
    x = 56,863,648,521/167,278.50
  6. Step 6: Final answer
    x = 339,933.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.