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Finding the Third Proportional to 203,482.13 and 265,492.69

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Solution

The third proportional to 203,482.13 and 265,492.69 is: 346,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.13 : 265,492.69 = 265,492.69 : x
  2. Step 2: Convert to fraction form
    203,482.13/265,492.69 = 265,492.69/x
  3. Step 3: Cross multiply
    203,482.13x = 265,492.69 × 265,492.69
  4. Step 4: Simplify right side
    203,482.13x = 70,486,367,115.97
  5. Step 5: Solve for x
    x = 70,486,367,115.97/203,482.13
  6. Step 6: Final answer
    x = 346,400.78

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.