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Finding the Third Proportional to 173,145.94 and 260,220.94

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Solution

The third proportional to 173,145.94 and 260,220.94 is: 391,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,145.94 : 260,220.94 = 260,220.94 : x
  2. Step 2: Convert to fraction form
    173,145.94/260,220.94 = 260,220.94/x
  3. Step 3: Cross multiply
    173,145.94x = 260,220.94 × 260,220.94
  4. Step 4: Simplify right side
    173,145.94x = 67,714,936,313.38
  5. Step 5: Solve for x
    x = 67,714,936,313.38/173,145.94
  6. Step 6: Final answer
    x = 391,085.91

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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.