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Finding the Third Proportional to 166,582 and 237,412

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Solution

The third proportional to 166,582 and 237,412 is: 338,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,582 : 237,412 = 237,412 : x
  2. Step 2: Convert to fraction form
    166,582/237,412 = 237,412/x
  3. Step 3: Cross multiply
    166,582x = 237,412 × 237,412
  4. Step 4: Simplify right side
    166,582x = 56,364,457,744
  5. Step 5: Solve for x
    x = 56,364,457,744/166,582
  6. Step 6: Final answer
    x = 338,358.63

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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.