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Finding the Third Proportional to 183,844.69 and 288,881.44

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Solution

The third proportional to 183,844.69 and 288,881.44 is: 453,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,844.69 : 288,881.44 = 288,881.44 : x
  2. Step 2: Convert to fraction form
    183,844.69/288,881.44 = 288,881.44/x
  3. Step 3: Cross multiply
    183,844.69x = 288,881.44 × 288,881.44
  4. Step 4: Simplify right side
    183,844.69x = 83,452,484,932.07
  5. Step 5: Solve for x
    x = 83,452,484,932.07/183,844.69
  6. Step 6: Final answer
    x = 453,929.27

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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.