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Finding the Third Proportional to 173,684.25 and 260,941.50

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Solution

The third proportional to 173,684.25 and 260,941.50 is: 392,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,684.25 : 260,941.50 = 260,941.50 : x
  2. Step 2: Convert to fraction form
    173,684.25/260,941.50 = 260,941.50/x
  3. Step 3: Cross multiply
    173,684.25x = 260,941.50 × 260,941.50
  4. Step 4: Simplify right side
    173,684.25x = 68,090,466,422.25
  5. Step 5: Solve for x
    x = 68,090,466,422.25/173,684.25
  6. Step 6: Final answer
    x = 392,035.93

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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.