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Finding the Third Proportional to 153,011 and 236,341

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Solution

The third proportional to 153,011 and 236,341 is: 365,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,011 : 236,341 = 236,341 : x
  2. Step 2: Convert to fraction form
    153,011/236,341 = 236,341/x
  3. Step 3: Cross multiply
    153,011x = 236,341 × 236,341
  4. Step 4: Simplify right side
    153,011x = 55,857,068,281
  5. Step 5: Solve for x
    x = 55,857,068,281/153,011
  6. Step 6: Final answer
    x = 365,052.63

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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.