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Finding the Third Proportional to 170,185 and 238,486

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Solution

The third proportional to 170,185 and 238,486 is: 334,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,185 : 238,486 = 238,486 : x
  2. Step 2: Convert to fraction form
    170,185/238,486 = 238,486/x
  3. Step 3: Cross multiply
    170,185x = 238,486 × 238,486
  4. Step 4: Simplify right side
    170,185x = 56,875,572,196
  5. Step 5: Solve for x
    x = 56,875,572,196/170,185
  6. Step 6: Final answer
    x = 334,198.50

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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.