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Finding the Third Proportional to 189,050 and 409,130

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Solution

The third proportional to 189,050 and 409,130 is: 885,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,050 : 409,130 = 409,130 : x
  2. Step 2: Convert to fraction form
    189,050/409,130 = 409,130/x
  3. Step 3: Cross multiply
    189,050x = 409,130 × 409,130
  4. Step 4: Simplify right side
    189,050x = 167,387,356,900
  5. Step 5: Solve for x
    x = 167,387,356,900/189,050
  6. Step 6: Final answer
    x = 885,413.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.