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Finding the Third Proportional to 209,298 and 313,128

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Solution

The third proportional to 209,298 and 313,128 is: 468,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,298 : 313,128 = 313,128 : x
  2. Step 2: Convert to fraction form
    209,298/313,128 = 313,128/x
  3. Step 3: Cross multiply
    209,298x = 313,128 × 313,128
  4. Step 4: Simplify right side
    209,298x = 98,049,144,384
  5. Step 5: Solve for x
    x = 98,049,144,384/209,298
  6. Step 6: Final answer
    x = 468,466.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.