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Finding the Third Proportional to 269,362.50 and 401,708.50

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Solution

The third proportional to 269,362.50 and 401,708.50 is: 599,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,362.50 : 401,708.50 = 401,708.50 : x
  2. Step 2: Convert to fraction form
    269,362.50/401,708.50 = 401,708.50/x
  3. Step 3: Cross multiply
    269,362.50x = 401,708.50 × 401,708.50
  4. Step 4: Simplify right side
    269,362.50x = 161,369,718,972.25
  5. Step 5: Solve for x
    x = 161,369,718,972.25/269,362.50
  6. Step 6: Final answer
    x = 599,080.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.