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Finding the Third Proportional to 174,862.13 and 270,042.19

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Solution

The third proportional to 174,862.13 and 270,042.19 is: 417,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,862.13 : 270,042.19 = 270,042.19 : x
  2. Step 2: Convert to fraction form
    174,862.13/270,042.19 = 270,042.19/x
  3. Step 3: Cross multiply
    174,862.13x = 270,042.19 × 270,042.19
  4. Step 4: Simplify right side
    174,862.13x = 72,922,783,029.79
  5. Step 5: Solve for x
    x = 72,922,783,029.79/174,862.13
  6. Step 6: Final answer
    x = 417,030.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.