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Finding the Third Proportional to 167,590 and 234,425.50

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Solution

The third proportional to 167,590 and 234,425.50 is: 327,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,590 : 234,425.50 = 234,425.50 : x
  2. Step 2: Convert to fraction form
    167,590/234,425.50 = 234,425.50/x
  3. Step 3: Cross multiply
    167,590x = 234,425.50 × 234,425.50
  4. Step 4: Simplify right side
    167,590x = 54,955,315,050.25
  5. Step 5: Solve for x
    x = 54,955,315,050.25/167,590
  6. Step 6: Final answer
    x = 327,915.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.