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Finding the Third Proportional to 145,096 and 303,312

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Solution

The third proportional to 145,096 and 303,312 is: 634,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,096 : 303,312 = 303,312 : x
  2. Step 2: Convert to fraction form
    145,096/303,312 = 303,312/x
  3. Step 3: Cross multiply
    145,096x = 303,312 × 303,312
  4. Step 4: Simplify right side
    145,096x = 91,998,169,344
  5. Step 5: Solve for x
    x = 91,998,169,344/145,096
  6. Step 6: Final answer
    x = 634,050.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.