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Finding the Third Proportional to 255,208 and 391,733.75

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Solution

The third proportional to 255,208 and 391,733.75 is: 601,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208 : 391,733.75 = 391,733.75 : x
  2. Step 2: Convert to fraction form
    255,208/391,733.75 = 391,733.75/x
  3. Step 3: Cross multiply
    255,208x = 391,733.75 × 391,733.75
  4. Step 4: Simplify right side
    255,208x = 153,455,330,889.06
  5. Step 5: Solve for x
    x = 153,455,330,889.06/255,208
  6. Step 6: Final answer
    x = 601,295.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.