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Finding the Third Proportional to 160,430 and 324,754

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Solution

The third proportional to 160,430 and 324,754 is: 657,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,430 : 324,754 = 324,754 : x
  2. Step 2: Convert to fraction form
    160,430/324,754 = 324,754/x
  3. Step 3: Cross multiply
    160,430x = 324,754 × 324,754
  4. Step 4: Simplify right side
    160,430x = 105,465,160,516
  5. Step 5: Solve for x
    x = 105,465,160,516/160,430
  6. Step 6: Final answer
    x = 657,390.52

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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.