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Finding the Third Proportional to 167,856 and 362,521.50

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Solution

The third proportional to 167,856 and 362,521.50 is: 782,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,856 : 362,521.50 = 362,521.50 : x
  2. Step 2: Convert to fraction form
    167,856/362,521.50 = 362,521.50/x
  3. Step 3: Cross multiply
    167,856x = 362,521.50 × 362,521.50
  4. Step 4: Simplify right side
    167,856x = 131,421,837,962.25
  5. Step 5: Solve for x
    x = 131,421,837,962.25/167,856
  6. Step 6: Final answer
    x = 782,943.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.