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Finding the Third Proportional to 254,037 and 374,037.50

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Solution

The third proportional to 254,037 and 374,037.50 is: 550,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,037 : 374,037.50 = 374,037.50 : x
  2. Step 2: Convert to fraction form
    254,037/374,037.50 = 374,037.50/x
  3. Step 3: Cross multiply
    254,037x = 374,037.50 × 374,037.50
  4. Step 4: Simplify right side
    254,037x = 139,904,051,406.25
  5. Step 5: Solve for x
    x = 139,904,051,406.25/254,037
  6. Step 6: Final answer
    x = 550,723.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.