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Finding the Third Proportional to 183,409 and 388,894

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Solution

The third proportional to 183,409 and 388,894 is: 824,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,409 : 388,894 = 388,894 : x
  2. Step 2: Convert to fraction form
    183,409/388,894 = 388,894/x
  3. Step 3: Cross multiply
    183,409x = 388,894 × 388,894
  4. Step 4: Simplify right side
    183,409x = 151,238,543,236
  5. Step 5: Solve for x
    x = 151,238,543,236/183,409
  6. Step 6: Final answer
    x = 824,597.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.