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Finding the Third Proportional to 157,271.25 and 336,583.13

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Solution

The third proportional to 157,271.25 and 336,583.13 is: 720,336.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,271.25 : 336,583.13 = 336,583.13 : x
  2. Step 2: Convert to fraction form
    157,271.25/336,583.13 = 336,583.13/x
  3. Step 3: Cross multiply
    157,271.25x = 336,583.13 × 336,583.13
  4. Step 4: Simplify right side
    157,271.25x = 113,288,200,034.77
  5. Step 5: Solve for x
    x = 113,288,200,034.77/157,271.25
  6. Step 6: Final answer
    x = 720,336.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.