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Finding the Third Proportional to 145,611.50 and 223,504

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Solution

The third proportional to 145,611.50 and 223,504 is: 343,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611.50 : 223,504 = 223,504 : x
  2. Step 2: Convert to fraction form
    145,611.50/223,504 = 223,504/x
  3. Step 3: Cross multiply
    145,611.50x = 223,504 × 223,504
  4. Step 4: Simplify right side
    145,611.50x = 49,954,038,016
  5. Step 5: Solve for x
    x = 49,954,038,016/145,611.50
  6. Step 6: Final answer
    x = 343,063.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.