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Finding the Third Proportional to 171,036.50 and 268,304

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Solution

The third proportional to 171,036.50 and 268,304 is: 420,886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036.50 : 268,304 = 268,304 : x
  2. Step 2: Convert to fraction form
    171,036.50/268,304 = 268,304/x
  3. Step 3: Cross multiply
    171,036.50x = 268,304 × 268,304
  4. Step 4: Simplify right side
    171,036.50x = 71,987,036,416
  5. Step 5: Solve for x
    x = 71,987,036,416/171,036.50
  6. Step 6: Final answer
    x = 420,886.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.