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Finding the Third Proportional to 147,205.50 and 233,472

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Solution

The third proportional to 147,205.50 and 233,472 is: 370,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,205.50 : 233,472 = 233,472 : x
  2. Step 2: Convert to fraction form
    147,205.50/233,472 = 233,472/x
  3. Step 3: Cross multiply
    147,205.50x = 233,472 × 233,472
  4. Step 4: Simplify right side
    147,205.50x = 54,509,174,784
  5. Step 5: Solve for x
    x = 54,509,174,784/147,205.50
  6. Step 6: Final answer
    x = 370,293.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.