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Finding the Third Proportional to 238,023.88 and 347,913.88

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Solution

The third proportional to 238,023.88 and 347,913.88 is: 508,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,023.88 : 347,913.88 = 347,913.88 : x
  2. Step 2: Convert to fraction form
    238,023.88/347,913.88 = 347,913.88/x
  3. Step 3: Cross multiply
    238,023.88x = 347,913.88 × 347,913.88
  4. Step 4: Simplify right side
    238,023.88x = 121,044,064,417.52
  5. Step 5: Solve for x
    x = 121,044,064,417.52/238,023.88
  6. Step 6: Final answer
    x = 508,537.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.