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Finding the Third Proportional to 160,463 and 254,303

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Solution

The third proportional to 160,463 and 254,303 is: 403,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,463 : 254,303 = 254,303 : x
  2. Step 2: Convert to fraction form
    160,463/254,303 = 254,303/x
  3. Step 3: Cross multiply
    160,463x = 254,303 × 254,303
  4. Step 4: Simplify right side
    160,463x = 64,670,015,809
  5. Step 5: Solve for x
    x = 64,670,015,809/160,463
  6. Step 6: Final answer
    x = 403,021.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.