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Finding the Third Proportional to 174,034 and 370,828

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Solution

The third proportional to 174,034 and 370,828 is: 790,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,034 : 370,828 = 370,828 : x
  2. Step 2: Convert to fraction form
    174,034/370,828 = 370,828/x
  3. Step 3: Cross multiply
    174,034x = 370,828 × 370,828
  4. Step 4: Simplify right side
    174,034x = 137,513,405,584
  5. Step 5: Solve for x
    x = 137,513,405,584/174,034
  6. Step 6: Final answer
    x = 790,152.53

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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.