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Finding the Third Proportional to 159,000 and 336,952

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Solution

The third proportional to 159,000 and 336,952 is: 714,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,000 : 336,952 = 336,952 : x
  2. Step 2: Convert to fraction form
    159,000/336,952 = 336,952/x
  3. Step 3: Cross multiply
    159,000x = 336,952 × 336,952
  4. Step 4: Simplify right side
    159,000x = 113,536,650,304
  5. Step 5: Solve for x
    x = 113,536,650,304/159,000
  6. Step 6: Final answer
    x = 714,066.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.