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Finding the Third Proportional to 132,930 and 288,094.50

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Solution

The third proportional to 132,930 and 288,094.50 is: 624,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,930 : 288,094.50 = 288,094.50 : x
  2. Step 2: Convert to fraction form
    132,930/288,094.50 = 288,094.50/x
  3. Step 3: Cross multiply
    132,930x = 288,094.50 × 288,094.50
  4. Step 4: Simplify right side
    132,930x = 82,998,440,930.25
  5. Step 5: Solve for x
    x = 82,998,440,930.25/132,930
  6. Step 6: Final answer
    x = 624,377.05

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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.