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Finding the Third Proportional to 161,468 and 353,716

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Solution

The third proportional to 161,468 and 353,716 is: 774,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,468 : 353,716 = 353,716 : x
  2. Step 2: Convert to fraction form
    161,468/353,716 = 353,716/x
  3. Step 3: Cross multiply
    161,468x = 353,716 × 353,716
  4. Step 4: Simplify right side
    161,468x = 125,115,008,656
  5. Step 5: Solve for x
    x = 125,115,008,656/161,468
  6. Step 6: Final answer
    x = 774,859.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.