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Finding the Third Proportional to 230,764 and 349,228

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Solution

The third proportional to 230,764 and 349,228 is: 528,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,764 : 349,228 = 349,228 : x
  2. Step 2: Convert to fraction form
    230,764/349,228 = 349,228/x
  3. Step 3: Cross multiply
    230,764x = 349,228 × 349,228
  4. Step 4: Simplify right side
    230,764x = 121,960,195,984
  5. Step 5: Solve for x
    x = 121,960,195,984/230,764
  6. Step 6: Final answer
    x = 528,506.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.