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Finding the Third Proportional to 218,152 and 320,047

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Solution

The third proportional to 218,152 and 320,047 is: 469,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,152 : 320,047 = 320,047 : x
  2. Step 2: Convert to fraction form
    218,152/320,047 = 320,047/x
  3. Step 3: Cross multiply
    218,152x = 320,047 × 320,047
  4. Step 4: Simplify right side
    218,152x = 102,430,082,209
  5. Step 5: Solve for x
    x = 102,430,082,209/218,152
  6. Step 6: Final answer
    x = 469,535.38

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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.