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Finding the Third Proportional to 265,116.50 and 401,536.50

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Solution

The third proportional to 265,116.50 and 401,536.50 is: 608,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,116.50 : 401,536.50 = 401,536.50 : x
  2. Step 2: Convert to fraction form
    265,116.50/401,536.50 = 401,536.50/x
  3. Step 3: Cross multiply
    265,116.50x = 401,536.50 × 401,536.50
  4. Step 4: Simplify right side
    265,116.50x = 161,231,560,832.25
  5. Step 5: Solve for x
    x = 161,231,560,832.25/265,116.50
  6. Step 6: Final answer
    x = 608,153.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.