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Finding the Third Proportional to 120,798.84 and 262,357.31

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Solution

The third proportional to 120,798.84 and 262,357.31 is: 569,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,798.84 : 262,357.31 = 262,357.31 : x
  2. Step 2: Convert to fraction form
    120,798.84/262,357.31 = 262,357.31/x
  3. Step 3: Cross multiply
    120,798.84x = 262,357.31 × 262,357.31
  4. Step 4: Simplify right side
    120,798.84x = 68,831,359,422.22
  5. Step 5: Solve for x
    x = 68,831,359,422.22/120,798.84
  6. Step 6: Final answer
    x = 569,801.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.