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Finding the Third Proportional to 173,790 and 255,045.75

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Solution

The third proportional to 173,790 and 255,045.75 is: 374,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,790 : 255,045.75 = 255,045.75 : x
  2. Step 2: Convert to fraction form
    173,790/255,045.75 = 255,045.75/x
  3. Step 3: Cross multiply
    173,790x = 255,045.75 × 255,045.75
  4. Step 4: Simplify right side
    173,790x = 65,048,334,593.06
  5. Step 5: Solve for x
    x = 65,048,334,593.06/173,790
  6. Step 6: Final answer
    x = 374,292.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.