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Finding the Third Proportional to 74,320 and 160,250

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Solution

The third proportional to 74,320 and 160,250 is: 345,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,320 : 160,250 = 160,250 : x
  2. Step 2: Convert to fraction form
    74,320/160,250 = 160,250/x
  3. Step 3: Cross multiply
    74,320x = 160,250 × 160,250
  4. Step 4: Simplify right side
    74,320x = 25,680,062,500
  5. Step 5: Solve for x
    x = 25,680,062,500/74,320
  6. Step 6: Final answer
    x = 345,533.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.