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Finding the Third Proportional to 183,527 and 389,087

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Solution

The third proportional to 183,527 and 389,087 is: 824,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,527 : 389,087 = 389,087 : x
  2. Step 2: Convert to fraction form
    183,527/389,087 = 389,087/x
  3. Step 3: Cross multiply
    183,527x = 389,087 × 389,087
  4. Step 4: Simplify right side
    183,527x = 151,388,693,569
  5. Step 5: Solve for x
    x = 151,388,693,569/183,527
  6. Step 6: Final answer
    x = 824,885.13

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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.