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Finding the Third Proportional to 191,424 and 281,848.50

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Solution

The third proportional to 191,424 and 281,848.50 is: 414,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,424 : 281,848.50 = 281,848.50 : x
  2. Step 2: Convert to fraction form
    191,424/281,848.50 = 281,848.50/x
  3. Step 3: Cross multiply
    191,424x = 281,848.50 × 281,848.50
  4. Step 4: Simplify right side
    191,424x = 79,438,576,952.25
  5. Step 5: Solve for x
    x = 79,438,576,952.25/191,424
  6. Step 6: Final answer
    x = 414,987.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.