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Finding the Third Proportional to 160,106 and 370,673

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Solution

The third proportional to 160,106 and 370,673 is: 858,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,106 : 370,673 = 370,673 : x
  2. Step 2: Convert to fraction form
    160,106/370,673 = 370,673/x
  3. Step 3: Cross multiply
    160,106x = 370,673 × 370,673
  4. Step 4: Simplify right side
    160,106x = 137,398,472,929
  5. Step 5: Solve for x
    x = 137,398,472,929/160,106
  6. Step 6: Final answer
    x = 858,171.92

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.