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Finding the Third Proportional to 183,820 and 294,926

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Solution

The third proportional to 183,820 and 294,926 is: 473,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,820 : 294,926 = 294,926 : x
  2. Step 2: Convert to fraction form
    183,820/294,926 = 294,926/x
  3. Step 3: Cross multiply
    183,820x = 294,926 × 294,926
  4. Step 4: Simplify right side
    183,820x = 86,981,345,476
  5. Step 5: Solve for x
    x = 86,981,345,476/183,820
  6. Step 6: Final answer
    x = 473,187.60

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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.