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Finding the Third Proportional to 173,584.69 and 260,374.50

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Solution

The third proportional to 173,584.69 and 260,374.50 is: 390,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,584.69 : 260,374.50 = 260,374.50 : x
  2. Step 2: Convert to fraction form
    173,584.69/260,374.50 = 260,374.50/x
  3. Step 3: Cross multiply
    173,584.69x = 260,374.50 × 260,374.50
  4. Step 4: Simplify right side
    173,584.69x = 67,794,880,250.25
  5. Step 5: Solve for x
    x = 67,794,880,250.25/173,584.69
  6. Step 6: Final answer
    x = 390,557.95

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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.