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Finding the Third Proportional to 237,885.61 and 364,363.31

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Solution

The third proportional to 237,885.61 and 364,363.31 is: 558,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,885.61 : 364,363.31 = 364,363.31 : x
  2. Step 2: Convert to fraction form
    237,885.61/364,363.31 = 364,363.31/x
  3. Step 3: Cross multiply
    237,885.61x = 364,363.31 × 364,363.31
  4. Step 4: Simplify right side
    237,885.61x = 132,760,623,495.97
  5. Step 5: Solve for x
    x = 132,760,623,495.97/237,885.61
  6. Step 6: Final answer
    x = 558,085.98

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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.