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Finding the Third Proportional to 153,514 and 236,833

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Solution

The third proportional to 153,514 and 236,833 is: 365,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,514 : 236,833 = 236,833 : x
  2. Step 2: Convert to fraction form
    153,514/236,833 = 236,833/x
  3. Step 3: Cross multiply
    153,514x = 236,833 × 236,833
  4. Step 4: Simplify right side
    153,514x = 56,089,869,889
  5. Step 5: Solve for x
    x = 56,089,869,889/153,514
  6. Step 6: Final answer
    x = 365,372.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.