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Finding the Third Proportional to 160,258.50 and 348,340.50

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Solution

The third proportional to 160,258.50 and 348,340.50 is: 757,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,258.50 : 348,340.50 = 348,340.50 : x
  2. Step 2: Convert to fraction form
    160,258.50/348,340.50 = 348,340.50/x
  3. Step 3: Cross multiply
    160,258.50x = 348,340.50 × 348,340.50
  4. Step 4: Simplify right side
    160,258.50x = 121,341,103,940.25
  5. Step 5: Solve for x
    x = 121,341,103,940.25/160,258.50
  6. Step 6: Final answer
    x = 757,158.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.