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Finding the Third Proportional to 170,564 and 238,580

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Solution

The third proportional to 170,564 and 238,580 is: 333,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,564 : 238,580 = 238,580 : x
  2. Step 2: Convert to fraction form
    170,564/238,580 = 238,580/x
  3. Step 3: Cross multiply
    170,564x = 238,580 × 238,580
  4. Step 4: Simplify right side
    170,564x = 56,920,416,400
  5. Step 5: Solve for x
    x = 56,920,416,400/170,564
  6. Step 6: Final answer
    x = 333,718.82

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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.