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Finding the Third Proportional to 149,369 and 236,631.50

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Solution

The third proportional to 149,369 and 236,631.50 is: 374,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,369 : 236,631.50 = 236,631.50 : x
  2. Step 2: Convert to fraction form
    149,369/236,631.50 = 236,631.50/x
  3. Step 3: Cross multiply
    149,369x = 236,631.50 × 236,631.50
  4. Step 4: Simplify right side
    149,369x = 55,994,466,792.25
  5. Step 5: Solve for x
    x = 55,994,466,792.25/149,369
  6. Step 6: Final answer
    x = 374,873.41

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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.