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Finding the Third Proportional to 183,824 and 294,932

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Solution

The third proportional to 183,824 and 294,932 is: 473,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,824 : 294,932 = 294,932 : x
  2. Step 2: Convert to fraction form
    183,824/294,932 = 294,932/x
  3. Step 3: Cross multiply
    183,824x = 294,932 × 294,932
  4. Step 4: Simplify right side
    183,824x = 86,984,884,624
  5. Step 5: Solve for x
    x = 86,984,884,624/183,824
  6. Step 6: Final answer
    x = 473,196.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.