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Finding the Third Proportional to 159,966 and 370,323

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Solution

The third proportional to 159,966 and 370,323 is: 857,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,966 : 370,323 = 370,323 : x
  2. Step 2: Convert to fraction form
    159,966/370,323 = 370,323/x
  3. Step 3: Cross multiply
    159,966x = 370,323 × 370,323
  4. Step 4: Simplify right side
    159,966x = 137,139,124,329
  5. Step 5: Solve for x
    x = 137,139,124,329/159,966
  6. Step 6: Final answer
    x = 857,301.70

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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.