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Finding the Third Proportional to 210,521.53 and 334,645.17

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Solution

The third proportional to 210,521.53 and 334,645.17 is: 531,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,521.53 : 334,645.17 = 334,645.17 : x
  2. Step 2: Convert to fraction form
    210,521.53/334,645.17 = 334,645.17/x
  3. Step 3: Cross multiply
    210,521.53x = 334,645.17 × 334,645.17
  4. Step 4: Simplify right side
    210,521.53x = 111,987,391,059.25
  5. Step 5: Solve for x
    x = 111,987,391,059.25/210,521.53
  6. Step 6: Final answer
    x = 531,952.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.