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Finding the Third Proportional to 149,406 and 236,688

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Solution

The third proportional to 149,406 and 236,688 is: 374,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406 : 236,688 = 236,688 : x
  2. Step 2: Convert to fraction form
    149,406/236,688 = 236,688/x
  3. Step 3: Cross multiply
    149,406x = 236,688 × 236,688
  4. Step 4: Simplify right side
    149,406x = 56,021,209,344
  5. Step 5: Solve for x
    x = 56,021,209,344/149,406
  6. Step 6: Final answer
    x = 374,959.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.