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Finding the Third Proportional to 159,963 and 370,323

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Solution

The third proportional to 159,963 and 370,323 is: 857,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,963 : 370,323 = 370,323 : x
  2. Step 2: Convert to fraction form
    159,963/370,323 = 370,323/x
  3. Step 3: Cross multiply
    159,963x = 370,323 × 370,323
  4. Step 4: Simplify right side
    159,963x = 137,139,124,329
  5. Step 5: Solve for x
    x = 137,139,124,329/159,963
  6. Step 6: Final answer
    x = 857,317.78

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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.