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Finding the Third Proportional to 160,930.50 and 243,466.50

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Solution

The third proportional to 160,930.50 and 243,466.50 is: 368,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,930.50 : 243,466.50 = 243,466.50 : x
  2. Step 2: Convert to fraction form
    160,930.50/243,466.50 = 243,466.50/x
  3. Step 3: Cross multiply
    160,930.50x = 243,466.50 × 243,466.50
  4. Step 4: Simplify right side
    160,930.50x = 59,275,936,622.25
  5. Step 5: Solve for x
    x = 59,275,936,622.25/160,930.50
  6. Step 6: Final answer
    x = 368,332.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.