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Finding the Third Proportional to 262,846 and 402,153

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Solution

The third proportional to 262,846 and 402,153 is: 615,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,846 : 402,153 = 402,153 : x
  2. Step 2: Convert to fraction form
    262,846/402,153 = 402,153/x
  3. Step 3: Cross multiply
    262,846x = 402,153 × 402,153
  4. Step 4: Simplify right side
    262,846x = 161,727,035,409
  5. Step 5: Solve for x
    x = 161,727,035,409/262,846
  6. Step 6: Final answer
    x = 615,291.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.