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Finding the Third Proportional to 220,160 and 365,597

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Solution

The third proportional to 220,160 and 365,597 is: 607,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,160 : 365,597 = 365,597 : x
  2. Step 2: Convert to fraction form
    220,160/365,597 = 365,597/x
  3. Step 3: Cross multiply
    220,160x = 365,597 × 365,597
  4. Step 4: Simplify right side
    220,160x = 133,661,166,409
  5. Step 5: Solve for x
    x = 133,661,166,409/220,160
  6. Step 6: Final answer
    x = 607,109.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.