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Finding the Third Proportional to 160,416 and 324,726

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Solution

The third proportional to 160,416 and 324,726 is: 657,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,416 : 324,726 = 324,726 : x
  2. Step 2: Convert to fraction form
    160,416/324,726 = 324,726/x
  3. Step 3: Cross multiply
    160,416x = 324,726 × 324,726
  4. Step 4: Simplify right side
    160,416x = 105,446,975,076
  5. Step 5: Solve for x
    x = 105,446,975,076/160,416
  6. Step 6: Final answer
    x = 657,334.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.