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Finding the Third Proportional to 174,778 and 382,260

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Solution

The third proportional to 174,778 and 382,260 is: 836,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,778 : 382,260 = 382,260 : x
  2. Step 2: Convert to fraction form
    174,778/382,260 = 382,260/x
  3. Step 3: Cross multiply
    174,778x = 382,260 × 382,260
  4. Step 4: Simplify right side
    174,778x = 146,122,707,600
  5. Step 5: Solve for x
    x = 146,122,707,600/174,778
  6. Step 6: Final answer
    x = 836,047.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.