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Finding the Third Proportional to 169,066.50 and 365,205

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Solution

The third proportional to 169,066.50 and 365,205 is: 788,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,066.50 : 365,205 = 365,205 : x
  2. Step 2: Convert to fraction form
    169,066.50/365,205 = 365,205/x
  3. Step 3: Cross multiply
    169,066.50x = 365,205 × 365,205
  4. Step 4: Simplify right side
    169,066.50x = 133,374,692,025
  5. Step 5: Solve for x
    x = 133,374,692,025/169,066.50
  6. Step 6: Final answer
    x = 788,888.94

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