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Finding the Third Proportional to 165,762 and 361,885.50

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Solution

The third proportional to 165,762 and 361,885.50 is: 790,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,762 : 361,885.50 = 361,885.50 : x
  2. Step 2: Convert to fraction form
    165,762/361,885.50 = 361,885.50/x
  3. Step 3: Cross multiply
    165,762x = 361,885.50 × 361,885.50
  4. Step 4: Simplify right side
    165,762x = 130,961,115,110.25
  5. Step 5: Solve for x
    x = 130,961,115,110.25/165,762
  6. Step 6: Final answer
    x = 790,055.11

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