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Finding the Third Proportional to 158,609 and 374,284.50

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Solution

The third proportional to 158,609 and 374,284.50 is: 883,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,609 : 374,284.50 = 374,284.50 : x
  2. Step 2: Convert to fraction form
    158,609/374,284.50 = 374,284.50/x
  3. Step 3: Cross multiply
    158,609x = 374,284.50 × 374,284.50
  4. Step 4: Simplify right side
    158,609x = 140,088,886,940.25
  5. Step 5: Solve for x
    x = 140,088,886,940.25/158,609
  6. Step 6: Final answer
    x = 883,234.16

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.