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Finding the Third Proportional to 166,588 and 237,421

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Solution

The third proportional to 166,588 and 237,421 is: 338,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,588 : 237,421 = 237,421 : x
  2. Step 2: Convert to fraction form
    166,588/237,421 = 237,421/x
  3. Step 3: Cross multiply
    166,588x = 237,421 × 237,421
  4. Step 4: Simplify right side
    166,588x = 56,368,731,241
  5. Step 5: Solve for x
    x = 56,368,731,241/166,588
  6. Step 6: Final answer
    x = 338,372.10

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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.