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Finding the Third Proportional to 218,158 and 320,052

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Solution

The third proportional to 218,158 and 320,052 is: 469,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,158 : 320,052 = 320,052 : x
  2. Step 2: Convert to fraction form
    218,158/320,052 = 320,052/x
  3. Step 3: Cross multiply
    218,158x = 320,052 × 320,052
  4. Step 4: Simplify right side
    218,158x = 102,433,282,704
  5. Step 5: Solve for x
    x = 102,433,282,704/218,158
  6. Step 6: Final answer
    x = 469,537.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.