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Finding the Third Proportional to 191,854 and 300,304.50

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Solution

The third proportional to 191,854 and 300,304.50 is: 470,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,854 : 300,304.50 = 300,304.50 : x
  2. Step 2: Convert to fraction form
    191,854/300,304.50 = 300,304.50/x
  3. Step 3: Cross multiply
    191,854x = 300,304.50 × 300,304.50
  4. Step 4: Simplify right side
    191,854x = 90,182,792,720.25
  5. Step 5: Solve for x
    x = 90,182,792,720.25/191,854
  6. Step 6: Final answer
    x = 470,059.49

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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.