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Finding the Third Proportional to 108,176 and 237,664

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Solution

The third proportional to 108,176 and 237,664 is: 522,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,176 : 237,664 = 237,664 : x
  2. Step 2: Convert to fraction form
    108,176/237,664 = 237,664/x
  3. Step 3: Cross multiply
    108,176x = 237,664 × 237,664
  4. Step 4: Simplify right side
    108,176x = 56,484,176,896
  5. Step 5: Solve for x
    x = 56,484,176,896/108,176
  6. Step 6: Final answer
    x = 522,150.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.