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Finding the Third Proportional to 181,810 and 260,260

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Solution

The third proportional to 181,810 and 260,260 is: 372,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,810 : 260,260 = 260,260 : x
  2. Step 2: Convert to fraction form
    181,810/260,260 = 260,260/x
  3. Step 3: Cross multiply
    181,810x = 260,260 × 260,260
  4. Step 4: Simplify right side
    181,810x = 67,735,267,600
  5. Step 5: Solve for x
    x = 67,735,267,600/181,810
  6. Step 6: Final answer
    x = 372,560.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.