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Finding the Third Proportional to 174,862.13 and 262,941.19

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Solution

The third proportional to 174,862.13 and 262,941.19 is: 395,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,862.13 : 262,941.19 = 262,941.19 : x
  2. Step 2: Convert to fraction form
    174,862.13/262,941.19 = 262,941.19/x
  3. Step 3: Cross multiply
    174,862.13x = 262,941.19 × 262,941.19
  4. Step 4: Simplify right side
    174,862.13x = 69,138,068,083.91
  5. Step 5: Solve for x
    x = 69,138,068,083.91/174,862.13
  6. Step 6: Final answer
    x = 395,386.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.