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Finding the Third Proportional to 183,777 and 288,803

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Solution

The third proportional to 183,777 and 288,803 is: 453,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,777 : 288,803 = 288,803 : x
  2. Step 2: Convert to fraction form
    183,777/288,803 = 288,803/x
  3. Step 3: Cross multiply
    183,777x = 288,803 × 288,803
  4. Step 4: Simplify right side
    183,777x = 83,407,172,809
  5. Step 5: Solve for x
    x = 83,407,172,809/183,777
  6. Step 6: Final answer
    x = 453,849.90

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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.