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Finding the Third Proportional to 218,166 and 320,066

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Solution

The third proportional to 218,166 and 320,066 is: 469,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,166 : 320,066 = 320,066 : x
  2. Step 2: Convert to fraction form
    218,166/320,066 = 320,066/x
  3. Step 3: Cross multiply
    218,166x = 320,066 × 320,066
  4. Step 4: Simplify right side
    218,166x = 102,442,244,356
  5. Step 5: Solve for x
    x = 102,442,244,356/218,166
  6. Step 6: Final answer
    x = 469,561.00

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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.