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Finding the Third Proportional to 187,953.47 and 443,537.16

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Solution

The third proportional to 187,953.47 and 443,537.16 is: 1,046,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,953.47 : 443,537.16 = 443,537.16 : x
  2. Step 2: Convert to fraction form
    187,953.47/443,537.16 = 443,537.16/x
  3. Step 3: Cross multiply
    187,953.47x = 443,537.16 × 443,537.16
  4. Step 4: Simplify right side
    187,953.47x = 196,725,208,974.34
  5. Step 5: Solve for x
    x = 196,725,208,974.34/187,953.47
  6. Step 6: Final answer
    x = 1,046,669.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.