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Finding the Third Proportional to 187,099.50 and 288,030

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Solution

The third proportional to 187,099.50 and 288,030 is: 443,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,099.50 : 288,030 = 288,030 : x
  2. Step 2: Convert to fraction form
    187,099.50/288,030 = 288,030/x
  3. Step 3: Cross multiply
    187,099.50x = 288,030 × 288,030
  4. Step 4: Simplify right side
    187,099.50x = 82,961,280,900
  5. Step 5: Solve for x
    x = 82,961,280,900/187,099.50
  6. Step 6: Final answer
    x = 443,407.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.