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Finding the Third Proportional to 237,866.63 and 338,210.44

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Solution

The third proportional to 237,866.63 and 338,210.44 is: 480,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,866.63 : 338,210.44 = 338,210.44 : x
  2. Step 2: Convert to fraction form
    237,866.63/338,210.44 = 338,210.44/x
  3. Step 3: Cross multiply
    237,866.63x = 338,210.44 × 338,210.44
  4. Step 4: Simplify right side
    237,866.63x = 114,386,300,033.94
  5. Step 5: Solve for x
    x = 114,386,300,033.94/237,866.63
  6. Step 6: Final answer
    x = 480,884.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.