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Finding the Third Proportional to 174,024 and 370,808

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Solution

The third proportional to 174,024 and 370,808 is: 790,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,024 : 370,808 = 370,808 : x
  2. Step 2: Convert to fraction form
    174,024/370,808 = 370,808/x
  3. Step 3: Cross multiply
    174,024x = 370,808 × 370,808
  4. Step 4: Simplify right side
    174,024x = 137,498,572,864
  5. Step 5: Solve for x
    x = 137,498,572,864/174,024
  6. Step 6: Final answer
    x = 790,112.70

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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.