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Finding the Third Proportional to 162,574 and 347,692

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Solution

The third proportional to 162,574 and 347,692 is: 743,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,574 : 347,692 = 347,692 : x
  2. Step 2: Convert to fraction form
    162,574/347,692 = 347,692/x
  3. Step 3: Cross multiply
    162,574x = 347,692 × 347,692
  4. Step 4: Simplify right side
    162,574x = 120,889,726,864
  5. Step 5: Solve for x
    x = 120,889,726,864/162,574
  6. Step 6: Final answer
    x = 743,598.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.