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Finding the Third Proportional to 191,968 and 285,952

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Solution

The third proportional to 191,968 and 285,952 is: 425,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,968 : 285,952 = 285,952 : x
  2. Step 2: Convert to fraction form
    191,968/285,952 = 285,952/x
  3. Step 3: Cross multiply
    191,968x = 285,952 × 285,952
  4. Step 4: Simplify right side
    191,968x = 81,768,546,304
  5. Step 5: Solve for x
    x = 81,768,546,304/191,968
  6. Step 6: Final answer
    x = 425,948.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.