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Finding the Third Proportional to 182,046 and 393,897

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Solution

The third proportional to 182,046 and 393,897 is: 852,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,046 : 393,897 = 393,897 : x
  2. Step 2: Convert to fraction form
    182,046/393,897 = 393,897/x
  3. Step 3: Cross multiply
    182,046x = 393,897 × 393,897
  4. Step 4: Simplify right side
    182,046x = 155,154,846,609
  5. Step 5: Solve for x
    x = 155,154,846,609/182,046
  6. Step 6: Final answer
    x = 852,283.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.