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Finding the Third Proportional to 161,455 and 351,973

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Solution

The third proportional to 161,455 and 351,973 is: 767,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,455 : 351,973 = 351,973 : x
  2. Step 2: Convert to fraction form
    161,455/351,973 = 351,973/x
  3. Step 3: Cross multiply
    161,455x = 351,973 × 351,973
  4. Step 4: Simplify right side
    161,455x = 123,884,992,729
  5. Step 5: Solve for x
    x = 123,884,992,729/161,455
  6. Step 6: Final answer
    x = 767,303.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.