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Finding the Third Proportional to 211,160.25 and 459,499.50

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Solution

The third proportional to 211,160.25 and 459,499.50 is: 999,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,160.25 : 459,499.50 = 459,499.50 : x
  2. Step 2: Convert to fraction form
    211,160.25/459,499.50 = 459,499.50/x
  3. Step 3: Cross multiply
    211,160.25x = 459,499.50 × 459,499.50
  4. Step 4: Simplify right side
    211,160.25x = 211,139,790,500.25
  5. Step 5: Solve for x
    x = 211,139,790,500.25/211,160.25
  6. Step 6: Final answer
    x = 999,903.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.