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Finding the Third Proportional to 230,697 and 310,405.50

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Solution

The third proportional to 230,697 and 310,405.50 is: 417,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,697 : 310,405.50 = 310,405.50 : x
  2. Step 2: Convert to fraction form
    230,697/310,405.50 = 310,405.50/x
  3. Step 3: Cross multiply
    230,697x = 310,405.50 × 310,405.50
  4. Step 4: Simplify right side
    230,697x = 96,351,574,430.25
  5. Step 5: Solve for x
    x = 96,351,574,430.25/230,697
  6. Step 6: Final answer
    x = 417,654.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.