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Finding the Third Proportional to 180,854 and 264,774

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Solution

The third proportional to 180,854 and 264,774 is: 387,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,854 : 264,774 = 264,774 : x
  2. Step 2: Convert to fraction form
    180,854/264,774 = 264,774/x
  3. Step 3: Cross multiply
    180,854x = 264,774 × 264,774
  4. Step 4: Simplify right side
    180,854x = 70,105,271,076
  5. Step 5: Solve for x
    x = 70,105,271,076/180,854
  6. Step 6: Final answer
    x = 387,634.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.