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Finding the Third Proportional to 159,575 and 236,281

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Solution

The third proportional to 159,575 and 236,281 is: 349,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,575 : 236,281 = 236,281 : x
  2. Step 2: Convert to fraction form
    159,575/236,281 = 236,281/x
  3. Step 3: Cross multiply
    159,575x = 236,281 × 236,281
  4. Step 4: Simplify right side
    159,575x = 55,828,710,961
  5. Step 5: Solve for x
    x = 55,828,710,961/159,575
  6. Step 6: Final answer
    x = 349,858.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.