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Finding the Third Proportional to 174,968 and 371,808

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Solution

The third proportional to 174,968 and 371,808 is: 790,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,968 : 371,808 = 371,808 : x
  2. Step 2: Convert to fraction form
    174,968/371,808 = 371,808/x
  3. Step 3: Cross multiply
    174,968x = 371,808 × 371,808
  4. Step 4: Simplify right side
    174,968x = 138,241,188,864
  5. Step 5: Solve for x
    x = 138,241,188,864/174,968
  6. Step 6: Final answer
    x = 790,094.13

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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.