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Finding the Third Proportional to 254,700 and 373,024.50

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Solution

The third proportional to 254,700 and 373,024.50 is: 546,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,700 : 373,024.50 = 373,024.50 : x
  2. Step 2: Convert to fraction form
    254,700/373,024.50 = 373,024.50/x
  3. Step 3: Cross multiply
    254,700x = 373,024.50 × 373,024.50
  4. Step 4: Simplify right side
    254,700x = 139,147,277,600.25
  5. Step 5: Solve for x
    x = 139,147,277,600.25/254,700
  6. Step 6: Final answer
    x = 546,318.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.