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Finding the Third Proportional to 191,838 and 300,280.50

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Solution

The third proportional to 191,838 and 300,280.50 is: 470,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,838 : 300,280.50 = 300,280.50 : x
  2. Step 2: Convert to fraction form
    191,838/300,280.50 = 300,280.50/x
  3. Step 3: Cross multiply
    191,838x = 300,280.50 × 300,280.50
  4. Step 4: Simplify right side
    191,838x = 90,168,378,680.25
  5. Step 5: Solve for x
    x = 90,168,378,680.25/191,838
  6. Step 6: Final answer
    x = 470,023.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.