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Finding the Third Proportional to 170,070 and 245,848

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Solution

The third proportional to 170,070 and 245,848 is: 355,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,070 : 245,848 = 245,848 : x
  2. Step 2: Convert to fraction form
    170,070/245,848 = 245,848/x
  3. Step 3: Cross multiply
    170,070x = 245,848 × 245,848
  4. Step 4: Simplify right side
    170,070x = 60,441,239,104
  5. Step 5: Solve for x
    x = 60,441,239,104/170,070
  6. Step 6: Final answer
    x = 355,390.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.