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Finding the Third Proportional to 191,017.50 and 279,757.50

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Solution

The third proportional to 191,017.50 and 279,757.50 is: 409,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,017.50 : 279,757.50 = 279,757.50 : x
  2. Step 2: Convert to fraction form
    191,017.50/279,757.50 = 279,757.50/x
  3. Step 3: Cross multiply
    191,017.50x = 279,757.50 × 279,757.50
  4. Step 4: Simplify right side
    191,017.50x = 78,264,258,806.25
  5. Step 5: Solve for x
    x = 78,264,258,806.25/191,017.50
  6. Step 6: Final answer
    x = 409,722.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.