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Finding the Third Proportional to 153,567 and 236,911

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Solution

The third proportional to 153,567 and 236,911 is: 365,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,567 : 236,911 = 236,911 : x
  2. Step 2: Convert to fraction form
    153,567/236,911 = 236,911/x
  3. Step 3: Cross multiply
    153,567x = 236,911 × 236,911
  4. Step 4: Simplify right side
    153,567x = 56,126,821,921
  5. Step 5: Solve for x
    x = 56,126,821,921/153,567
  6. Step 6: Final answer
    x = 365,487.52

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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.