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Finding the Third Proportional to 158,925 and 336,804

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Solution

The third proportional to 158,925 and 336,804 is: 713,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,925 : 336,804 = 336,804 : x
  2. Step 2: Convert to fraction form
    158,925/336,804 = 336,804/x
  3. Step 3: Cross multiply
    158,925x = 336,804 × 336,804
  4. Step 4: Simplify right side
    158,925x = 113,436,934,416
  5. Step 5: Solve for x
    x = 113,436,934,416/158,925
  6. Step 6: Final answer
    x = 713,776.53

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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.