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Finding the Third Proportional to 168,581 and 237,139

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Solution

The third proportional to 168,581 and 237,139 is: 333,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,581 : 237,139 = 237,139 : x
  2. Step 2: Convert to fraction form
    168,581/237,139 = 237,139/x
  3. Step 3: Cross multiply
    168,581x = 237,139 × 237,139
  4. Step 4: Simplify right side
    168,581x = 56,234,905,321
  5. Step 5: Solve for x
    x = 56,234,905,321/168,581
  6. Step 6: Final answer
    x = 333,577.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.