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Finding the Third Proportional to 171,405 and 376,038

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Solution

The third proportional to 171,405 and 376,038 is: 824,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,405 : 376,038 = 376,038 : x
  2. Step 2: Convert to fraction form
    171,405/376,038 = 376,038/x
  3. Step 3: Cross multiply
    171,405x = 376,038 × 376,038
  4. Step 4: Simplify right side
    171,405x = 141,404,577,444
  5. Step 5: Solve for x
    x = 141,404,577,444/171,405
  6. Step 6: Final answer
    x = 824,973.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.