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Finding the Third Proportional to 176,129.44 and 392,598.56

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Solution

The third proportional to 176,129.44 and 392,598.56 is: 875,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,129.44 : 392,598.56 = 392,598.56 : x
  2. Step 2: Convert to fraction form
    176,129.44/392,598.56 = 392,598.56/x
  3. Step 3: Cross multiply
    176,129.44x = 392,598.56 × 392,598.56
  4. Step 4: Simplify right side
    176,129.44x = 154,133,631,277.07
  5. Step 5: Solve for x
    x = 154,133,631,277.07/176,129.44
  6. Step 6: Final answer
    x = 875,115.67

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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.