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Finding the Third Proportional to 216,158.63 and 345,318.19

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Solution

The third proportional to 216,158.63 and 345,318.19 is: 551,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,158.63 : 345,318.19 = 345,318.19 : x
  2. Step 2: Convert to fraction form
    216,158.63/345,318.19 = 345,318.19/x
  3. Step 3: Cross multiply
    216,158.63x = 345,318.19 × 345,318.19
  4. Step 4: Simplify right side
    216,158.63x = 119,244,650,618.29
  5. Step 5: Solve for x
    x = 119,244,650,618.29/216,158.63
  6. Step 6: Final answer
    x = 551,653.45

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.