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Finding the Third Proportional to 236,160 and 498,996

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Solution

The third proportional to 236,160 and 498,996 is: 1,054,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,160 : 498,996 = 498,996 : x
  2. Step 2: Convert to fraction form
    236,160/498,996 = 498,996/x
  3. Step 3: Cross multiply
    236,160x = 498,996 × 498,996
  4. Step 4: Simplify right side
    236,160x = 248,997,008,016
  5. Step 5: Solve for x
    x = 248,997,008,016/236,160
  6. Step 6: Final answer
    x = 1,054,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.