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Finding the Third Proportional to 160,428 and 324,750

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Solution

The third proportional to 160,428 and 324,750 is: 657,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,428 : 324,750 = 324,750 : x
  2. Step 2: Convert to fraction form
    160,428/324,750 = 324,750/x
  3. Step 3: Cross multiply
    160,428x = 324,750 × 324,750
  4. Step 4: Simplify right side
    160,428x = 105,462,562,500
  5. Step 5: Solve for x
    x = 105,462,562,500/160,428
  6. Step 6: Final answer
    x = 657,382.52

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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.