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Finding the Third Proportional to 236,358 and 375,849

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Solution

The third proportional to 236,358 and 375,849 is: 597,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,358 : 375,849 = 375,849 : x
  2. Step 2: Convert to fraction form
    236,358/375,849 = 375,849/x
  3. Step 3: Cross multiply
    236,358x = 375,849 × 375,849
  4. Step 4: Simplify right side
    236,358x = 141,262,470,801
  5. Step 5: Solve for x
    x = 141,262,470,801/236,358
  6. Step 6: Final answer
    x = 597,663.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.