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Finding the Third Proportional to 177,341 and 260,827

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Solution

The third proportional to 177,341 and 260,827 is: 383,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,341 : 260,827 = 260,827 : x
  2. Step 2: Convert to fraction form
    177,341/260,827 = 260,827/x
  3. Step 3: Cross multiply
    177,341x = 260,827 × 260,827
  4. Step 4: Simplify right side
    177,341x = 68,030,723,929
  5. Step 5: Solve for x
    x = 68,030,723,929/177,341
  6. Step 6: Final answer
    x = 383,615.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.