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Finding the Third Proportional to 108,948 and 237,498

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Solution

The third proportional to 108,948 and 237,498 is: 517,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,948 : 237,498 = 237,498 : x
  2. Step 2: Convert to fraction form
    108,948/237,498 = 237,498/x
  3. Step 3: Cross multiply
    108,948x = 237,498 × 237,498
  4. Step 4: Simplify right side
    108,948x = 56,405,300,004
  5. Step 5: Solve for x
    x = 56,405,300,004/108,948
  6. Step 6: Final answer
    x = 517,726.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.