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Finding the Third Proportional to 213,085.50 and 459,381.75

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Solution

The third proportional to 213,085.50 and 459,381.75 is: 990,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,085.50 : 459,381.75 = 459,381.75 : x
  2. Step 2: Convert to fraction form
    213,085.50/459,381.75 = 459,381.75/x
  3. Step 3: Cross multiply
    213,085.50x = 459,381.75 × 459,381.75
  4. Step 4: Simplify right side
    213,085.50x = 211,031,592,233.06
  5. Step 5: Solve for x
    x = 211,031,592,233.06/213,085.50
  6. Step 6: Final answer
    x = 990,361.11

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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.