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Finding the Third Proportional to 159,958 and 370,303

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Solution

The third proportional to 159,958 and 370,303 is: 857,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,958 : 370,303 = 370,303 : x
  2. Step 2: Convert to fraction form
    159,958/370,303 = 370,303/x
  3. Step 3: Cross multiply
    159,958x = 370,303 × 370,303
  4. Step 4: Simplify right side
    159,958x = 137,124,311,809
  5. Step 5: Solve for x
    x = 137,124,311,809/159,958
  6. Step 6: Final answer
    x = 857,251.98

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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.