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Finding the Third Proportional to 212,767.50 and 459,158.25

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Solution

The third proportional to 212,767.50 and 459,158.25 is: 990,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,767.50 : 459,158.25 = 459,158.25 : x
  2. Step 2: Convert to fraction form
    212,767.50/459,158.25 = 459,158.25/x
  3. Step 3: Cross multiply
    212,767.50x = 459,158.25 × 459,158.25
  4. Step 4: Simplify right side
    212,767.50x = 210,826,298,543.06
  5. Step 5: Solve for x
    x = 210,826,298,543.06/212,767.50
  6. Step 6: Final answer
    x = 990,876.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.