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Finding the Third Proportional to 174,240 and 371,232

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Solution

The third proportional to 174,240 and 371,232 is: 790,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,240 : 371,232 = 371,232 : x
  2. Step 2: Convert to fraction form
    174,240/371,232 = 371,232/x
  3. Step 3: Cross multiply
    174,240x = 371,232 × 371,232
  4. Step 4: Simplify right side
    174,240x = 137,813,197,824
  5. Step 5: Solve for x
    x = 137,813,197,824/174,240
  6. Step 6: Final answer
    x = 790,938.92

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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.