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Finding the Third Proportional to 230,373 and 343,783

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Solution

The third proportional to 230,373 and 343,783 is: 513,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,373 : 343,783 = 343,783 : x
  2. Step 2: Convert to fraction form
    230,373/343,783 = 343,783/x
  3. Step 3: Cross multiply
    230,373x = 343,783 × 343,783
  4. Step 4: Simplify right side
    230,373x = 118,186,751,089
  5. Step 5: Solve for x
    x = 118,186,751,089/230,373
  6. Step 6: Final answer
    x = 513,023.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.