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Finding the Third Proportional to 161,238 and 335,709

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Solution

The third proportional to 161,238 and 335,709 is: 698,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,238 : 335,709 = 335,709 : x
  2. Step 2: Convert to fraction form
    161,238/335,709 = 335,709/x
  3. Step 3: Cross multiply
    161,238x = 335,709 × 335,709
  4. Step 4: Simplify right side
    161,238x = 112,700,532,681
  5. Step 5: Solve for x
    x = 112,700,532,681/161,238
  6. Step 6: Final answer
    x = 698,970.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.