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Finding the Third Proportional to 242,850 and 365,895

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Solution

The third proportional to 242,850 and 365,895 is: 551,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,850 : 365,895 = 365,895 : x
  2. Step 2: Convert to fraction form
    242,850/365,895 = 365,895/x
  3. Step 3: Cross multiply
    242,850x = 365,895 × 365,895
  4. Step 4: Simplify right side
    242,850x = 133,879,151,025
  5. Step 5: Solve for x
    x = 133,879,151,025/242,850
  6. Step 6: Final answer
    x = 551,283.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.