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Finding the Third Proportional to 166,632 and 238,117.50

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Solution

The third proportional to 166,632 and 238,117.50 is: 340,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,632 : 238,117.50 = 238,117.50 : x
  2. Step 2: Convert to fraction form
    166,632/238,117.50 = 238,117.50/x
  3. Step 3: Cross multiply
    166,632x = 238,117.50 × 238,117.50
  4. Step 4: Simplify right side
    166,632x = 56,699,943,806.25
  5. Step 5: Solve for x
    x = 56,699,943,806.25/166,632
  6. Step 6: Final answer
    x = 340,270.44

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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.