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Finding the Third Proportional to 175,019 and 361,702

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Solution

The third proportional to 175,019 and 361,702 is: 747,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,019 : 361,702 = 361,702 : x
  2. Step 2: Convert to fraction form
    175,019/361,702 = 361,702/x
  3. Step 3: Cross multiply
    175,019x = 361,702 × 361,702
  4. Step 4: Simplify right side
    175,019x = 130,828,336,804
  5. Step 5: Solve for x
    x = 130,828,336,804/175,019
  6. Step 6: Final answer
    x = 747,509.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.