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Finding the Third Proportional to 158,318 and 333,037

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Solution

The third proportional to 158,318 and 333,037 is: 700,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,318 : 333,037 = 333,037 : x
  2. Step 2: Convert to fraction form
    158,318/333,037 = 333,037/x
  3. Step 3: Cross multiply
    158,318x = 333,037 × 333,037
  4. Step 4: Simplify right side
    158,318x = 110,913,643,369
  5. Step 5: Solve for x
    x = 110,913,643,369/158,318
  6. Step 6: Final answer
    x = 700,575.07

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