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Finding the Third Proportional to 209,482.50 and 452,175

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Solution

The third proportional to 209,482.50 and 452,175 is: 976,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,482.50 : 452,175 = 452,175 : x
  2. Step 2: Convert to fraction form
    209,482.50/452,175 = 452,175/x
  3. Step 3: Cross multiply
    209,482.50x = 452,175 × 452,175
  4. Step 4: Simplify right side
    209,482.50x = 204,462,230,625
  5. Step 5: Solve for x
    x = 204,462,230,625/209,482.50
  6. Step 6: Final answer
    x = 976,034.90

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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.