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Finding the Third Proportional to 145,611.50 and 298,276.50

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Solution

The third proportional to 145,611.50 and 298,276.50 is: 611,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611.50 : 298,276.50 = 298,276.50 : x
  2. Step 2: Convert to fraction form
    145,611.50/298,276.50 = 298,276.50/x
  3. Step 3: Cross multiply
    145,611.50x = 298,276.50 × 298,276.50
  4. Step 4: Simplify right side
    145,611.50x = 88,968,870,452.25
  5. Step 5: Solve for x
    x = 88,968,870,452.25/145,611.50
  6. Step 6: Final answer
    x = 611,001.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.