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Finding the Third Proportional to 120,433.08 and 259,364.53

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Solution

The third proportional to 120,433.08 and 259,364.53 is: 558,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.08 : 259,364.53 = 259,364.53 : x
  2. Step 2: Convert to fraction form
    120,433.08/259,364.53 = 259,364.53/x
  3. Step 3: Cross multiply
    120,433.08x = 259,364.53 × 259,364.53
  4. Step 4: Simplify right side
    120,433.08x = 67,269,960,070.53
  5. Step 5: Solve for x
    x = 67,269,960,070.53/120,433.08
  6. Step 6: Final answer
    x = 558,567.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.