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Finding the Third Proportional to 72,470.25 and 155,653.50

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Solution

The third proportional to 72,470.25 and 155,653.50 is: 334,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,470.25 : 155,653.50 = 155,653.50 : x
  2. Step 2: Convert to fraction form
    72,470.25/155,653.50 = 155,653.50/x
  3. Step 3: Cross multiply
    72,470.25x = 155,653.50 × 155,653.50
  4. Step 4: Simplify right side
    72,470.25x = 24,228,012,062.25
  5. Step 5: Solve for x
    x = 24,228,012,062.25/72,470.25
  6. Step 6: Final answer
    x = 334,316.66

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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.