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Finding the Third Proportional to 174,988 and 382,052

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Solution

The third proportional to 174,988 and 382,052 is: 834,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988 : 382,052 = 382,052 : x
  2. Step 2: Convert to fraction form
    174,988/382,052 = 382,052/x
  3. Step 3: Cross multiply
    174,988x = 382,052 × 382,052
  4. Step 4: Simplify right side
    174,988x = 145,963,730,704
  5. Step 5: Solve for x
    x = 145,963,730,704/174,988
  6. Step 6: Final answer
    x = 834,135.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.