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Finding the Third Proportional to 167,329.50 and 238,509

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Solution

The third proportional to 167,329.50 and 238,509 is: 339,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,329.50 : 238,509 = 238,509 : x
  2. Step 2: Convert to fraction form
    167,329.50/238,509 = 238,509/x
  3. Step 3: Cross multiply
    167,329.50x = 238,509 × 238,509
  4. Step 4: Simplify right side
    167,329.50x = 56,886,543,081
  5. Step 5: Solve for x
    x = 56,886,543,081/167,329.50
  6. Step 6: Final answer
    x = 339,967.21

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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.