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Finding the Third Proportional to 174,020 and 379,998

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Solution

The third proportional to 174,020 and 379,998 is: 829,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,020 : 379,998 = 379,998 : x
  2. Step 2: Convert to fraction form
    174,020/379,998 = 379,998/x
  3. Step 3: Cross multiply
    174,020x = 379,998 × 379,998
  4. Step 4: Simplify right side
    174,020x = 144,398,480,004
  5. Step 5: Solve for x
    x = 144,398,480,004/174,020
  6. Step 6: Final answer
    x = 829,780.94

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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.