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Finding the Third Proportional to 109,491 and 237,572

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Solution

The third proportional to 109,491 and 237,572 is: 515,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491 : 237,572 = 237,572 : x
  2. Step 2: Convert to fraction form
    109,491/237,572 = 237,572/x
  3. Step 3: Cross multiply
    109,491x = 237,572 × 237,572
  4. Step 4: Simplify right side
    109,491x = 56,440,455,184
  5. Step 5: Solve for x
    x = 56,440,455,184/109,491
  6. Step 6: Final answer
    x = 515,480.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.