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Finding the Third Proportional to 183,038.44 and 395,686.31

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Solution

The third proportional to 183,038.44 and 395,686.31 is: 855,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,038.44 : 395,686.31 = 395,686.31 : x
  2. Step 2: Convert to fraction form
    183,038.44/395,686.31 = 395,686.31/x
  3. Step 3: Cross multiply
    183,038.44x = 395,686.31 × 395,686.31
  4. Step 4: Simplify right side
    183,038.44x = 156,567,657,899.85
  5. Step 5: Solve for x
    x = 156,567,657,899.85/183,038.44
  6. Step 6: Final answer
    x = 855,381.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.