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Finding the Third Proportional to 229,981.78 and 353,020.78

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Solution

The third proportional to 229,981.78 and 353,020.78 is: 541,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,981.78 : 353,020.78 = 353,020.78 : x
  2. Step 2: Convert to fraction form
    229,981.78/353,020.78 = 353,020.78/x
  3. Step 3: Cross multiply
    229,981.78x = 353,020.78 × 353,020.78
  4. Step 4: Simplify right side
    229,981.78x = 124,623,671,994.36
  5. Step 5: Solve for x
    x = 124,623,671,994.36/229,981.78
  6. Step 6: Final answer
    x = 541,884.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.