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Finding the Third Proportional to 177,350 and 260,841

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Solution

The third proportional to 177,350 and 260,841 is: 383,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,350 : 260,841 = 260,841 : x
  2. Step 2: Convert to fraction form
    177,350/260,841 = 260,841/x
  3. Step 3: Cross multiply
    177,350x = 260,841 × 260,841
  4. Step 4: Simplify right side
    177,350x = 68,038,027,281
  5. Step 5: Solve for x
    x = 68,038,027,281/177,350
  6. Step 6: Final answer
    x = 383,637.03

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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.