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Finding the Third Proportional to 175,096 and 254,989.50

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Solution

The third proportional to 175,096 and 254,989.50 is: 371,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,096 : 254,989.50 = 254,989.50 : x
  2. Step 2: Convert to fraction form
    175,096/254,989.50 = 254,989.50/x
  3. Step 3: Cross multiply
    175,096x = 254,989.50 × 254,989.50
  4. Step 4: Simplify right side
    175,096x = 65,019,645,110.25
  5. Step 5: Solve for x
    x = 65,019,645,110.25/175,096
  6. Step 6: Final answer
    x = 371,337.12

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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.