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Finding the Third Proportional to 132,970 and 288,093.50

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Solution

The third proportional to 132,970 and 288,093.50 is: 624,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970 : 288,093.50 = 288,093.50 : x
  2. Step 2: Convert to fraction form
    132,970/288,093.50 = 288,093.50/x
  3. Step 3: Cross multiply
    132,970x = 288,093.50 × 288,093.50
  4. Step 4: Simplify right side
    132,970x = 82,997,864,742.25
  5. Step 5: Solve for x
    x = 82,997,864,742.25/132,970
  6. Step 6: Final answer
    x = 624,184.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.