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Finding the Third Proportional to 209,488.50 and 452,187

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Solution

The third proportional to 209,488.50 and 452,187 is: 976,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,488.50 : 452,187 = 452,187 : x
  2. Step 2: Convert to fraction form
    209,488.50/452,187 = 452,187/x
  3. Step 3: Cross multiply
    209,488.50x = 452,187 × 452,187
  4. Step 4: Simplify right side
    209,488.50x = 204,473,082,969
  5. Step 5: Solve for x
    x = 204,473,082,969/209,488.50
  6. Step 6: Final answer
    x = 976,058.75

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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.