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Finding the Third Proportional to 174,072 and 260,448

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Solution

The third proportional to 174,072 and 260,448 is: 389,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,072 : 260,448 = 260,448 : x
  2. Step 2: Convert to fraction form
    174,072/260,448 = 260,448/x
  3. Step 3: Cross multiply
    174,072x = 260,448 × 260,448
  4. Step 4: Simplify right side
    174,072x = 67,833,160,704
  5. Step 5: Solve for x
    x = 67,833,160,704/174,072
  6. Step 6: Final answer
    x = 389,684.50

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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.