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Finding the Third Proportional to 174,690 and 372,258

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Solution

The third proportional to 174,690 and 372,258 is: 793,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,690 : 372,258 = 372,258 : x
  2. Step 2: Convert to fraction form
    174,690/372,258 = 372,258/x
  3. Step 3: Cross multiply
    174,690x = 372,258 × 372,258
  4. Step 4: Simplify right side
    174,690x = 138,576,018,564
  5. Step 5: Solve for x
    x = 138,576,018,564/174,690
  6. Step 6: Final answer
    x = 793,268.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.