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Finding the Third Proportional to 230,712 and 505,152

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Solution

The third proportional to 230,712 and 505,152 is: 1,106,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,712 : 505,152 = 505,152 : x
  2. Step 2: Convert to fraction form
    230,712/505,152 = 505,152/x
  3. Step 3: Cross multiply
    230,712x = 505,152 × 505,152
  4. Step 4: Simplify right side
    230,712x = 255,178,543,104
  5. Step 5: Solve for x
    x = 255,178,543,104/230,712
  6. Step 6: Final answer
    x = 1,106,047.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.