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Finding the Third Proportional to 169,620 and 370,014

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Solution

The third proportional to 169,620 and 370,014 is: 807,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,620 : 370,014 = 370,014 : x
  2. Step 2: Convert to fraction form
    169,620/370,014 = 370,014/x
  3. Step 3: Cross multiply
    169,620x = 370,014 × 370,014
  4. Step 4: Simplify right side
    169,620x = 136,910,360,196
  5. Step 5: Solve for x
    x = 136,910,360,196/169,620
  6. Step 6: Final answer
    x = 807,159.30

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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.