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Finding the Third Proportional to 160,827 and 354,724.50

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Solution

The third proportional to 160,827 and 354,724.50 is: 782,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,827 : 354,724.50 = 354,724.50 : x
  2. Step 2: Convert to fraction form
    160,827/354,724.50 = 354,724.50/x
  3. Step 3: Cross multiply
    160,827x = 354,724.50 × 354,724.50
  4. Step 4: Simplify right side
    160,827x = 125,829,470,900.25
  5. Step 5: Solve for x
    x = 125,829,470,900.25/160,827
  6. Step 6: Final answer
    x = 782,390.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.