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Finding the Third Proportional to 229,036 and 336,712

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Solution

The third proportional to 229,036 and 336,712 is: 495,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,036 : 336,712 = 336,712 : x
  2. Step 2: Convert to fraction form
    229,036/336,712 = 336,712/x
  3. Step 3: Cross multiply
    229,036x = 336,712 × 336,712
  4. Step 4: Simplify right side
    229,036x = 113,374,970,944
  5. Step 5: Solve for x
    x = 113,374,970,944/229,036
  6. Step 6: Final answer
    x = 495,009.39

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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.