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Finding the Third Proportional to 159,096.75 and 343,088.25

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Solution

The third proportional to 159,096.75 and 343,088.25 is: 739,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,096.75 : 343,088.25 = 343,088.25 : x
  2. Step 2: Convert to fraction form
    159,096.75/343,088.25 = 343,088.25/x
  3. Step 3: Cross multiply
    159,096.75x = 343,088.25 × 343,088.25
  4. Step 4: Simplify right side
    159,096.75x = 117,709,547,288.06
  5. Step 5: Solve for x
    x = 117,709,547,288.06/159,096.75
  6. Step 6: Final answer
    x = 739,861.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.