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Finding the Third Proportional to 153,508 and 236,824.50

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Solution

The third proportional to 153,508 and 236,824.50 is: 365,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,508 : 236,824.50 = 236,824.50 : x
  2. Step 2: Convert to fraction form
    153,508/236,824.50 = 236,824.50/x
  3. Step 3: Cross multiply
    153,508x = 236,824.50 × 236,824.50
  4. Step 4: Simplify right side
    153,508x = 56,085,843,800.25
  5. Step 5: Solve for x
    x = 56,085,843,800.25/153,508
  6. Step 6: Final answer
    x = 365,361.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.