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Finding the Third Proportional to 230,044 and 352,347

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Solution

The third proportional to 230,044 and 352,347 is: 539,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,044 : 352,347 = 352,347 : x
  2. Step 2: Convert to fraction form
    230,044/352,347 = 352,347/x
  3. Step 3: Cross multiply
    230,044x = 352,347 × 352,347
  4. Step 4: Simplify right side
    230,044x = 124,148,408,409
  5. Step 5: Solve for x
    x = 124,148,408,409/230,044
  6. Step 6: Final answer
    x = 539,672.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.