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Finding the Third Proportional to 208,029.09 and 312,048.56

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Solution

The third proportional to 208,029.09 and 312,048.56 is: 468,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,029.09 : 312,048.56 = 312,048.56 : x
  2. Step 2: Convert to fraction form
    208,029.09/312,048.56 = 312,048.56/x
  3. Step 3: Cross multiply
    208,029.09x = 312,048.56 × 312,048.56
  4. Step 4: Simplify right side
    208,029.09x = 97,374,305,358.32
  5. Step 5: Solve for x
    x = 97,374,305,358.32/208,029.09
  6. Step 6: Final answer
    x = 468,080.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.