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Finding the Third Proportional to 191,887 and 268,405.50

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Solution

The third proportional to 191,887 and 268,405.50 is: 375,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,887 : 268,405.50 = 268,405.50 : x
  2. Step 2: Convert to fraction form
    191,887/268,405.50 = 268,405.50/x
  3. Step 3: Cross multiply
    191,887x = 268,405.50 × 268,405.50
  4. Step 4: Simplify right side
    191,887x = 72,041,512,430.25
  5. Step 5: Solve for x
    x = 72,041,512,430.25/191,887
  6. Step 6: Final answer
    x = 375,437.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.