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Finding the Third Proportional to 183,900 and 402,252

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Solution

The third proportional to 183,900 and 402,252 is: 879,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,900 : 402,252 = 402,252 : x
  2. Step 2: Convert to fraction form
    183,900/402,252 = 402,252/x
  3. Step 3: Cross multiply
    183,900x = 402,252 × 402,252
  4. Step 4: Simplify right side
    183,900x = 161,806,671,504
  5. Step 5: Solve for x
    x = 161,806,671,504/183,900
  6. Step 6: Final answer
    x = 879,862.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.