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Finding the Third Proportional to 195,778 and 427,076

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Solution

The third proportional to 195,778 and 427,076 is: 931,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,778 : 427,076 = 427,076 : x
  2. Step 2: Convert to fraction form
    195,778/427,076 = 427,076/x
  3. Step 3: Cross multiply
    195,778x = 427,076 × 427,076
  4. Step 4: Simplify right side
    195,778x = 182,393,909,776
  5. Step 5: Solve for x
    x = 182,393,909,776/195,778
  6. Step 6: Final answer
    x = 931,636.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.