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Finding the Third Proportional to 255,696.75 and 401,117.06

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Solution

The third proportional to 255,696.75 and 401,117.06 is: 629,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,696.75 : 401,117.06 = 401,117.06 : x
  2. Step 2: Convert to fraction form
    255,696.75/401,117.06 = 401,117.06/x
  3. Step 3: Cross multiply
    255,696.75x = 401,117.06 × 401,117.06
  4. Step 4: Simplify right side
    255,696.75x = 160,894,897,828.63
  5. Step 5: Solve for x
    x = 160,894,897,828.63/255,696.75
  6. Step 6: Final answer
    x = 629,241.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.