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Finding the Third Proportional to 217,865.16 and 333,068.25

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Solution

The third proportional to 217,865.16 and 333,068.25 is: 509,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,865.16 : 333,068.25 = 333,068.25 : x
  2. Step 2: Convert to fraction form
    217,865.16/333,068.25 = 333,068.25/x
  3. Step 3: Cross multiply
    217,865.16x = 333,068.25 × 333,068.25
  4. Step 4: Simplify right side
    217,865.16x = 110,934,459,158.06
  5. Step 5: Solve for x
    x = 110,934,459,158.06/217,865.16
  6. Step 6: Final answer
    x = 509,188.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.