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Finding the Third Proportional to 174,506 and 372,328

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Solution

The third proportional to 174,506 and 372,328 is: 794,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,506 : 372,328 = 372,328 : x
  2. Step 2: Convert to fraction form
    174,506/372,328 = 372,328/x
  3. Step 3: Cross multiply
    174,506x = 372,328 × 372,328
  4. Step 4: Simplify right side
    174,506x = 138,628,139,584
  5. Step 5: Solve for x
    x = 138,628,139,584/174,506
  6. Step 6: Final answer
    x = 794,403.28

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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.