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Finding the Third Proportional to 153,333 and 234,859.50

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Solution

The third proportional to 153,333 and 234,859.50 is: 359,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,333 : 234,859.50 = 234,859.50 : x
  2. Step 2: Convert to fraction form
    153,333/234,859.50 = 234,859.50/x
  3. Step 3: Cross multiply
    153,333x = 234,859.50 × 234,859.50
  4. Step 4: Simplify right side
    153,333x = 55,158,984,740.25
  5. Step 5: Solve for x
    x = 55,158,984,740.25/153,333
  6. Step 6: Final answer
    x = 359,733.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.