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Finding the Third Proportional to 174,182 and 260,595

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Solution

The third proportional to 174,182 and 260,595 is: 389,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,182 : 260,595 = 260,595 : x
  2. Step 2: Convert to fraction form
    174,182/260,595 = 260,595/x
  3. Step 3: Cross multiply
    174,182x = 260,595 × 260,595
  4. Step 4: Simplify right side
    174,182x = 67,909,754,025
  5. Step 5: Solve for x
    x = 67,909,754,025/174,182
  6. Step 6: Final answer
    x = 389,878.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.