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Finding the Third Proportional to 159,010 and 336,416

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Solution

The third proportional to 159,010 and 336,416 is: 711,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,010 : 336,416 = 336,416 : x
  2. Step 2: Convert to fraction form
    159,010/336,416 = 336,416/x
  3. Step 3: Cross multiply
    159,010x = 336,416 × 336,416
  4. Step 4: Simplify right side
    159,010x = 113,175,725,056
  5. Step 5: Solve for x
    x = 113,175,725,056/159,010
  6. Step 6: Final answer
    x = 711,752.25

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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.