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Finding the Third Proportional to 227,777.63 and 348,566.63

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Solution

The third proportional to 227,777.63 and 348,566.63 is: 533,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,777.63 : 348,566.63 = 348,566.63 : x
  2. Step 2: Convert to fraction form
    227,777.63/348,566.63 = 348,566.63/x
  3. Step 3: Cross multiply
    227,777.63x = 348,566.63 × 348,566.63
  4. Step 4: Simplify right side
    227,777.63x = 121,498,692,063.89
  5. Step 5: Solve for x
    x = 121,498,692,063.89/227,777.63
  6. Step 6: Final answer
    x = 533,409.25

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Why These Related Problems?

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