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Finding the Third Proportional to 183,818 and 294,923

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Solution

The third proportional to 183,818 and 294,923 is: 473,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,818 : 294,923 = 294,923 : x
  2. Step 2: Convert to fraction form
    183,818/294,923 = 294,923/x
  3. Step 3: Cross multiply
    183,818x = 294,923 × 294,923
  4. Step 4: Simplify right side
    183,818x = 86,979,575,929
  5. Step 5: Solve for x
    x = 86,979,575,929/183,818
  6. Step 6: Final answer
    x = 473,183.13

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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.