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Finding the Third Proportional to 181,374 and 285,973

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Solution

The third proportional to 181,374 and 285,973 is: 450,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,374 : 285,973 = 285,973 : x
  2. Step 2: Convert to fraction form
    181,374/285,973 = 285,973/x
  3. Step 3: Cross multiply
    181,374x = 285,973 × 285,973
  4. Step 4: Simplify right side
    181,374x = 81,780,556,729
  5. Step 5: Solve for x
    x = 81,780,556,729/181,374
  6. Step 6: Final answer
    x = 450,894.60

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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.