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Finding the Third Proportional to 236,561 and 366,989

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Solution

The third proportional to 236,561 and 366,989 is: 569,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,561 : 366,989 = 366,989 : x
  2. Step 2: Convert to fraction form
    236,561/366,989 = 366,989/x
  3. Step 3: Cross multiply
    236,561x = 366,989 × 366,989
  4. Step 4: Simplify right side
    236,561x = 134,680,926,121
  5. Step 5: Solve for x
    x = 134,680,926,121/236,561
  6. Step 6: Final answer
    x = 569,328.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.