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Finding the Third Proportional to 174,138.81 and 377,259.10

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Solution

The third proportional to 174,138.81 and 377,259.10 is: 817,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,138.81 : 377,259.10 = 377,259.10 : x
  2. Step 2: Convert to fraction form
    174,138.81/377,259.10 = 377,259.10/x
  3. Step 3: Cross multiply
    174,138.81x = 377,259.10 × 377,259.10
  4. Step 4: Simplify right side
    174,138.81x = 142,324,429,895.95
  5. Step 5: Solve for x
    x = 142,324,429,895.95/174,138.81
  6. Step 6: Final answer
    x = 817,304.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.