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Finding the Third Proportional to 148,816.13 and 212,724

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Solution

The third proportional to 148,816.13 and 212,724 is: 304,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,816.13 : 212,724 = 212,724 : x
  2. Step 2: Convert to fraction form
    148,816.13/212,724 = 212,724/x
  3. Step 3: Cross multiply
    148,816.13x = 212,724 × 212,724
  4. Step 4: Simplify right side
    148,816.13x = 45,251,500,176
  5. Step 5: Solve for x
    x = 45,251,500,176/148,816.13
  6. Step 6: Final answer
    x = 304,076.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.