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Finding the Third Proportional to 183,273 and 389,712

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Solution

The third proportional to 183,273 and 389,712 is: 828,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,273 : 389,712 = 389,712 : x
  2. Step 2: Convert to fraction form
    183,273/389,712 = 389,712/x
  3. Step 3: Cross multiply
    183,273x = 389,712 × 389,712
  4. Step 4: Simplify right side
    183,273x = 151,875,442,944
  5. Step 5: Solve for x
    x = 151,875,442,944/183,273
  6. Step 6: Final answer
    x = 828,684.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.