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Finding the Third Proportional to 245,037 and 367,655.50

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Solution

The third proportional to 245,037 and 367,655.50 is: 551,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,037 : 367,655.50 = 367,655.50 : x
  2. Step 2: Convert to fraction form
    245,037/367,655.50 = 367,655.50/x
  3. Step 3: Cross multiply
    245,037x = 367,655.50 × 367,655.50
  4. Step 4: Simplify right side
    245,037x = 135,170,566,680.25
  5. Step 5: Solve for x
    x = 135,170,566,680.25/245,037
  6. Step 6: Final answer
    x = 551,633.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.