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Finding the Third Proportional to 128,312 and 309,116

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Solution

The third proportional to 128,312 and 309,116 is: 744,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,312 : 309,116 = 309,116 : x
  2. Step 2: Convert to fraction form
    128,312/309,116 = 309,116/x
  3. Step 3: Cross multiply
    128,312x = 309,116 × 309,116
  4. Step 4: Simplify right side
    128,312x = 95,552,701,456
  5. Step 5: Solve for x
    x = 95,552,701,456/128,312
  6. Step 6: Final answer
    x = 744,690.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.