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Finding the Third Proportional to 159,382 and 375,701

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Solution

The third proportional to 159,382 and 375,701 is: 885,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,382 : 375,701 = 375,701 : x
  2. Step 2: Convert to fraction form
    159,382/375,701 = 375,701/x
  3. Step 3: Cross multiply
    159,382x = 375,701 × 375,701
  4. Step 4: Simplify right side
    159,382x = 141,151,241,401
  5. Step 5: Solve for x
    x = 141,151,241,401/159,382
  6. Step 6: Final answer
    x = 885,615.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.