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Finding the Third Proportional to 161,497.50 and 340,648.50

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Solution

The third proportional to 161,497.50 and 340,648.50 is: 718,533.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497.50 : 340,648.50 = 340,648.50 : x
  2. Step 2: Convert to fraction form
    161,497.50/340,648.50 = 340,648.50/x
  3. Step 3: Cross multiply
    161,497.50x = 340,648.50 × 340,648.50
  4. Step 4: Simplify right side
    161,497.50x = 116,041,400,552.25
  5. Step 5: Solve for x
    x = 116,041,400,552.25/161,497.50
  6. Step 6: Final answer
    x = 718,533.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.