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Finding the Third Proportional to 238,365.91 and 353,425.46

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Solution

The third proportional to 238,365.91 and 353,425.46 is: 524,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,365.91 : 353,425.46 = 353,425.46 : x
  2. Step 2: Convert to fraction form
    238,365.91/353,425.46 = 353,425.46/x
  3. Step 3: Cross multiply
    238,365.91x = 353,425.46 × 353,425.46
  4. Step 4: Simplify right side
    238,365.91x = 124,909,559,200.02
  5. Step 5: Solve for x
    x = 124,909,559,200.02/238,365.91
  6. Step 6: Final answer
    x = 524,024.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.