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Finding the Third Proportional to 208,030 and 313,513

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Solution

The third proportional to 208,030 and 313,513 is: 472,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030 : 313,513 = 313,513 : x
  2. Step 2: Convert to fraction form
    208,030/313,513 = 313,513/x
  3. Step 3: Cross multiply
    208,030x = 313,513 × 313,513
  4. Step 4: Simplify right side
    208,030x = 98,290,401,169
  5. Step 5: Solve for x
    x = 98,290,401,169/208,030
  6. Step 6: Final answer
    x = 472,481.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.