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Finding the Third Proportional to 153,566 and 236,910

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Solution

The third proportional to 153,566 and 236,910 is: 365,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,566 : 236,910 = 236,910 : x
  2. Step 2: Convert to fraction form
    153,566/236,910 = 236,910/x
  3. Step 3: Cross multiply
    153,566x = 236,910 × 236,910
  4. Step 4: Simplify right side
    153,566x = 56,126,348,100
  5. Step 5: Solve for x
    x = 56,126,348,100/153,566
  6. Step 6: Final answer
    x = 365,486.81

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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.