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Finding the Third Proportional to 237,117 and 355,684

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Solution

The third proportional to 237,117 and 355,684 is: 533,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,117 : 355,684 = 355,684 : x
  2. Step 2: Convert to fraction form
    237,117/355,684 = 355,684/x
  3. Step 3: Cross multiply
    237,117x = 355,684 × 355,684
  4. Step 4: Simplify right side
    237,117x = 126,511,107,856
  5. Step 5: Solve for x
    x = 126,511,107,856/237,117
  6. Step 6: Final answer
    x = 533,538.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.