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Finding the Third Proportional to 174,938.63 and 360,919.13

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Solution

The third proportional to 174,938.63 and 360,919.13 is: 744,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,938.63 : 360,919.13 = 360,919.13 : x
  2. Step 2: Convert to fraction form
    174,938.63/360,919.13 = 360,919.13/x
  3. Step 3: Cross multiply
    174,938.63x = 360,919.13 × 360,919.13
  4. Step 4: Simplify right side
    174,938.63x = 130,262,614,790.77
  5. Step 5: Solve for x
    x = 130,262,614,790.77/174,938.63
  6. Step 6: Final answer
    x = 744,618.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.