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Finding the Third Proportional to 190,691 and 258,979.50

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Solution

The third proportional to 190,691 and 258,979.50 is: 351,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,691 : 258,979.50 = 258,979.50 : x
  2. Step 2: Convert to fraction form
    190,691/258,979.50 = 258,979.50/x
  3. Step 3: Cross multiply
    190,691x = 258,979.50 × 258,979.50
  4. Step 4: Simplify right side
    190,691x = 67,070,381,420.25
  5. Step 5: Solve for x
    x = 67,070,381,420.25/190,691
  6. Step 6: Final answer
    x = 351,722.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.