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Finding the Third Proportional to 159,097.50 and 343,089.75

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Solution

The third proportional to 159,097.50 and 343,089.75 is: 739,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,097.50 : 343,089.75 = 343,089.75 : x
  2. Step 2: Convert to fraction form
    159,097.50/343,089.75 = 343,089.75/x
  3. Step 3: Cross multiply
    159,097.50x = 343,089.75 × 343,089.75
  4. Step 4: Simplify right side
    159,097.50x = 117,710,576,555.06
  5. Step 5: Solve for x
    x = 117,710,576,555.06/159,097.50
  6. Step 6: Final answer
    x = 739,864.40

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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.