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Finding the Third Proportional to 161,699.50 and 340,154

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Solution

The third proportional to 161,699.50 and 340,154 is: 715,554.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,699.50 : 340,154 = 340,154 : x
  2. Step 2: Convert to fraction form
    161,699.50/340,154 = 340,154/x
  3. Step 3: Cross multiply
    161,699.50x = 340,154 × 340,154
  4. Step 4: Simplify right side
    161,699.50x = 115,704,743,716
  5. Step 5: Solve for x
    x = 115,704,743,716/161,699.50
  6. Step 6: Final answer
    x = 715,554.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.