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Finding the Third Proportional to 265,099.50 and 401,510.25

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Solution

The third proportional to 265,099.50 and 401,510.25 is: 608,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,099.50 : 401,510.25 = 401,510.25 : x
  2. Step 2: Convert to fraction form
    265,099.50/401,510.25 = 401,510.25/x
  3. Step 3: Cross multiply
    265,099.50x = 401,510.25 × 401,510.25
  4. Step 4: Simplify right side
    265,099.50x = 161,210,480,855.06
  5. Step 5: Solve for x
    x = 161,210,480,855.06/265,099.50
  6. Step 6: Final answer
    x = 608,113.11

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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.