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Finding the Third Proportional to 231,429 and 350,046

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Solution

The third proportional to 231,429 and 350,046 is: 529,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,429 : 350,046 = 350,046 : x
  2. Step 2: Convert to fraction form
    231,429/350,046 = 350,046/x
  3. Step 3: Cross multiply
    231,429x = 350,046 × 350,046
  4. Step 4: Simplify right side
    231,429x = 122,532,202,116
  5. Step 5: Solve for x
    x = 122,532,202,116/231,429
  6. Step 6: Final answer
    x = 529,459.15

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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.