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Finding the Third Proportional to 208,070 and 313,570

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Solution

The third proportional to 208,070 and 313,570 is: 472,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,070 : 313,570 = 313,570 : x
  2. Step 2: Convert to fraction form
    208,070/313,570 = 313,570/x
  3. Step 3: Cross multiply
    208,070x = 313,570 × 313,570
  4. Step 4: Simplify right side
    208,070x = 98,326,144,900
  5. Step 5: Solve for x
    x = 98,326,144,900/208,070
  6. Step 6: Final answer
    x = 472,562.81

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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.