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Finding the Third Proportional to 146,089.50 and 314,373

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Solution

The third proportional to 146,089.50 and 314,373 is: 676,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,089.50 : 314,373 = 314,373 : x
  2. Step 2: Convert to fraction form
    146,089.50/314,373 = 314,373/x
  3. Step 3: Cross multiply
    146,089.50x = 314,373 × 314,373
  4. Step 4: Simplify right side
    146,089.50x = 98,830,383,129
  5. Step 5: Solve for x
    x = 98,830,383,129/146,089.50
  6. Step 6: Final answer
    x = 676,505.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.