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Finding the Third Proportional to 144,152.06 and 315,470.81

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Solution

The third proportional to 144,152.06 and 315,470.81 is: 690,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,152.06 : 315,470.81 = 315,470.81 : x
  2. Step 2: Convert to fraction form
    144,152.06/315,470.81 = 315,470.81/x
  3. Step 3: Cross multiply
    144,152.06x = 315,470.81 × 315,470.81
  4. Step 4: Simplify right side
    144,152.06x = 99,521,833,539.41
  5. Step 5: Solve for x
    x = 99,521,833,539.41/144,152.06
  6. Step 6: Final answer
    x = 690,394.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.