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Finding the Third Proportional to 174,366 and 260,865

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Solution

The third proportional to 174,366 and 260,865 is: 390,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,366 : 260,865 = 260,865 : x
  2. Step 2: Convert to fraction form
    174,366/260,865 = 260,865/x
  3. Step 3: Cross multiply
    174,366x = 260,865 × 260,865
  4. Step 4: Simplify right side
    174,366x = 68,050,548,225
  5. Step 5: Solve for x
    x = 68,050,548,225/174,366
  6. Step 6: Final answer
    x = 390,274.18

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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.