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Finding the Third Proportional to 158,922 and 316,021.50

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Solution

The third proportional to 158,922 and 316,021.50 is: 628,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,922 : 316,021.50 = 316,021.50 : x
  2. Step 2: Convert to fraction form
    158,922/316,021.50 = 316,021.50/x
  3. Step 3: Cross multiply
    158,922x = 316,021.50 × 316,021.50
  4. Step 4: Simplify right side
    158,922x = 99,869,588,462.25
  5. Step 5: Solve for x
    x = 99,869,588,462.25/158,922
  6. Step 6: Final answer
    x = 628,418.90

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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.