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Finding the Third Proportional to 160,830 and 354,730.50

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Solution

The third proportional to 160,830 and 354,730.50 is: 782,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,830 : 354,730.50 = 354,730.50 : x
  2. Step 2: Convert to fraction form
    160,830/354,730.50 = 354,730.50/x
  3. Step 3: Cross multiply
    160,830x = 354,730.50 × 354,730.50
  4. Step 4: Simplify right side
    160,830x = 125,833,727,630.25
  5. Step 5: Solve for x
    x = 125,833,727,630.25/160,830
  6. Step 6: Final answer
    x = 782,402.09

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