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Finding the Third Proportional to 159,452 and 335,428

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Solution

The third proportional to 159,452 and 335,428 is: 705,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,452 : 335,428 = 335,428 : x
  2. Step 2: Convert to fraction form
    159,452/335,428 = 335,428/x
  3. Step 3: Cross multiply
    159,452x = 335,428 × 335,428
  4. Step 4: Simplify right side
    159,452x = 112,511,943,184
  5. Step 5: Solve for x
    x = 112,511,943,184/159,452
  6. Step 6: Final answer
    x = 705,616.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.