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Finding the Third Proportional to 183,600 and 400,896

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Solution

The third proportional to 183,600 and 400,896 is: 875,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,600 : 400,896 = 400,896 : x
  2. Step 2: Convert to fraction form
    183,600/400,896 = 400,896/x
  3. Step 3: Cross multiply
    183,600x = 400,896 × 400,896
  4. Step 4: Simplify right side
    183,600x = 160,717,602,816
  5. Step 5: Solve for x
    x = 160,717,602,816/183,600
  6. Step 6: Final answer
    x = 875,368.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.