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Finding the Third Proportional to 174,156 and 260,559

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Solution

The third proportional to 174,156 and 260,559 is: 389,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,156 : 260,559 = 260,559 : x
  2. Step 2: Convert to fraction form
    174,156/260,559 = 260,559/x
  3. Step 3: Cross multiply
    174,156x = 260,559 × 260,559
  4. Step 4: Simplify right side
    174,156x = 67,890,992,481
  5. Step 5: Solve for x
    x = 67,890,992,481/174,156
  6. Step 6: Final answer
    x = 389,828.62

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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.