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Finding the Third Proportional to 210,181.50 and 459,813

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Solution

The third proportional to 210,181.50 and 459,813 is: 1,005,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,181.50 : 459,813 = 459,813 : x
  2. Step 2: Convert to fraction form
    210,181.50/459,813 = 459,813/x
  3. Step 3: Cross multiply
    210,181.50x = 459,813 × 459,813
  4. Step 4: Simplify right side
    210,181.50x = 211,427,994,969
  5. Step 5: Solve for x
    x = 211,427,994,969/210,181.50
  6. Step 6: Final answer
    x = 1,005,930.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.