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Finding the Third Proportional to 102,836 and 229,303

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Solution

The third proportional to 102,836 and 229,303 is: 511,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,836 : 229,303 = 229,303 : x
  2. Step 2: Convert to fraction form
    102,836/229,303 = 229,303/x
  3. Step 3: Cross multiply
    102,836x = 229,303 × 229,303
  4. Step 4: Simplify right side
    102,836x = 52,579,865,809
  5. Step 5: Solve for x
    x = 52,579,865,809/102,836
  6. Step 6: Final answer
    x = 511,298.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.