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Finding the Third Proportional to 231,090 and 500,086.50

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Solution

The third proportional to 231,090 and 500,086.50 is: 1,082,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,090 : 500,086.50 = 500,086.50 : x
  2. Step 2: Convert to fraction form
    231,090/500,086.50 = 500,086.50/x
  3. Step 3: Cross multiply
    231,090x = 500,086.50 × 500,086.50
  4. Step 4: Simplify right side
    231,090x = 250,086,507,482.25
  5. Step 5: Solve for x
    x = 250,086,507,482.25/231,090
  6. Step 6: Final answer
    x = 1,082,203.94

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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.