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Finding the Third Proportional to 170,572 and 238,584

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Solution

The third proportional to 170,572 and 238,584 is: 333,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,572 : 238,584 = 238,584 : x
  2. Step 2: Convert to fraction form
    170,572/238,584 = 238,584/x
  3. Step 3: Cross multiply
    170,572x = 238,584 × 238,584
  4. Step 4: Simplify right side
    170,572x = 56,922,325,056
  5. Step 5: Solve for x
    x = 56,922,325,056/170,572
  6. Step 6: Final answer
    x = 333,714.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.