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Finding the Third Proportional to 174,270 and 260,710

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Solution

The third proportional to 174,270 and 260,710 is: 390,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,270 : 260,710 = 260,710 : x
  2. Step 2: Convert to fraction form
    174,270/260,710 = 260,710/x
  3. Step 3: Cross multiply
    174,270x = 260,710 × 260,710
  4. Step 4: Simplify right side
    174,270x = 67,969,704,100
  5. Step 5: Solve for x
    x = 67,969,704,100/174,270
  6. Step 6: Final answer
    x = 390,025.27

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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.