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Finding the Third Proportional to 226,482.75 and 333,082.13

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Solution

The third proportional to 226,482.75 and 333,082.13 is: 489,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,482.75 : 333,082.13 = 333,082.13 : x
  2. Step 2: Convert to fraction form
    226,482.75/333,082.13 = 333,082.13/x
  3. Step 3: Cross multiply
    226,482.75x = 333,082.13 × 333,082.13
  4. Step 4: Simplify right side
    226,482.75x = 110,943,701,994.52
  5. Step 5: Solve for x
    x = 110,943,701,994.52/226,482.75
  6. Step 6: Final answer
    x = 489,854.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.