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Finding the Third Proportional to 254,109 and 374,122.50

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Solution

The third proportional to 254,109 and 374,122.50 is: 550,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,109 : 374,122.50 = 374,122.50 : x
  2. Step 2: Convert to fraction form
    254,109/374,122.50 = 374,122.50/x
  3. Step 3: Cross multiply
    254,109x = 374,122.50 × 374,122.50
  4. Step 4: Simplify right side
    254,109x = 139,967,645,006.25
  5. Step 5: Solve for x
    x = 139,967,645,006.25/254,109
  6. Step 6: Final answer
    x = 550,817.35

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