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Finding the Third Proportional to 176,140.41 and 392,621.34

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Solution

The third proportional to 176,140.41 and 392,621.34 is: 875,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,140.41 : 392,621.34 = 392,621.34 : x
  2. Step 2: Convert to fraction form
    176,140.41/392,621.34 = 392,621.34/x
  3. Step 3: Cross multiply
    176,140.41x = 392,621.34 × 392,621.34
  4. Step 4: Simplify right side
    176,140.41x = 154,151,519,568.06
  5. Step 5: Solve for x
    x = 154,151,519,568.06/176,140.41
  6. Step 6: Final answer
    x = 875,162.73

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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.