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Finding the Third Proportional to 174,076 and 370,912

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Solution

The third proportional to 174,076 and 370,912 is: 790,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,076 : 370,912 = 370,912 : x
  2. Step 2: Convert to fraction form
    174,076/370,912 = 370,912/x
  3. Step 3: Cross multiply
    174,076x = 370,912 × 370,912
  4. Step 4: Simplify right side
    174,076x = 137,575,711,744
  5. Step 5: Solve for x
    x = 137,575,711,744/174,076
  6. Step 6: Final answer
    x = 790,319.81

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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.