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Finding the Third Proportional to 159,580 and 236,284

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Solution

The third proportional to 159,580 and 236,284 is: 349,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,580 : 236,284 = 236,284 : x
  2. Step 2: Convert to fraction form
    159,580/236,284 = 236,284/x
  3. Step 3: Cross multiply
    159,580x = 236,284 × 236,284
  4. Step 4: Simplify right side
    159,580x = 55,830,128,656
  5. Step 5: Solve for x
    x = 55,830,128,656/159,580
  6. Step 6: Final answer
    x = 349,856.68

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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.