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Finding the Third Proportional to 227,047.50 and 324,077.63

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Solution

The third proportional to 227,047.50 and 324,077.63 is: 462,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,047.50 : 324,077.63 = 324,077.63 : x
  2. Step 2: Convert to fraction form
    227,047.50/324,077.63 = 324,077.63/x
  3. Step 3: Cross multiply
    227,047.50x = 324,077.63 × 324,077.63
  4. Step 4: Simplify right side
    227,047.50x = 105,026,307,025.64
  5. Step 5: Solve for x
    x = 105,026,307,025.64/227,047.50
  6. Step 6: Final answer
    x = 462,574.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.