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Finding the Third Proportional to 174,894.19 and 270,071.72

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Solution

The third proportional to 174,894.19 and 270,071.72 is: 417,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,894.19 : 270,071.72 = 270,071.72 : x
  2. Step 2: Convert to fraction form
    174,894.19/270,071.72 = 270,071.72/x
  3. Step 3: Cross multiply
    174,894.19x = 270,071.72 × 270,071.72
  4. Step 4: Simplify right side
    174,894.19x = 72,938,733,268.58
  5. Step 5: Solve for x
    x = 72,938,733,268.58/174,894.19
  6. Step 6: Final answer
    x = 417,044.92

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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.