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Finding the Third Proportional to 166,590 and 237,424.13

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Solution

The third proportional to 166,590 and 237,424.13 is: 338,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,590 : 237,424.13 = 237,424.13 : x
  2. Step 2: Convert to fraction form
    166,590/237,424.13 = 237,424.13/x
  3. Step 3: Cross multiply
    166,590x = 237,424.13 × 237,424.13
  4. Step 4: Simplify right side
    166,590x = 56,370,215,132.02
  5. Step 5: Solve for x
    x = 56,370,215,132.02/166,590
  6. Step 6: Final answer
    x = 338,376.94

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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.