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Finding the Third Proportional to 183,726 and 283,911.75

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Solution

The third proportional to 183,726 and 283,911.75 is: 438,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,726 : 283,911.75 = 283,911.75 : x
  2. Step 2: Convert to fraction form
    183,726/283,911.75 = 283,911.75/x
  3. Step 3: Cross multiply
    183,726x = 283,911.75 × 283,911.75
  4. Step 4: Simplify right side
    183,726x = 80,605,881,788.06
  5. Step 5: Solve for x
    x = 80,605,881,788.06/183,726
  6. Step 6: Final answer
    x = 438,728.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.