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Finding the Third Proportional to 183,570 and 389,196

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Solution

The third proportional to 183,570 and 389,196 is: 825,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,570 : 389,196 = 389,196 : x
  2. Step 2: Convert to fraction form
    183,570/389,196 = 389,196/x
  3. Step 3: Cross multiply
    183,570x = 389,196 × 389,196
  4. Step 4: Simplify right side
    183,570x = 151,473,526,416
  5. Step 5: Solve for x
    x = 151,473,526,416/183,570
  6. Step 6: Final answer
    x = 825,154.04

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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.