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Finding the Third Proportional to 165,938 and 390,052

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Solution

The third proportional to 165,938 and 390,052 is: 916,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,938 : 390,052 = 390,052 : x
  2. Step 2: Convert to fraction form
    165,938/390,052 = 390,052/x
  3. Step 3: Cross multiply
    165,938x = 390,052 × 390,052
  4. Step 4: Simplify right side
    165,938x = 152,140,562,704
  5. Step 5: Solve for x
    x = 152,140,562,704/165,938
  6. Step 6: Final answer
    x = 916,851.85

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.