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Finding the Third Proportional to 161,600.06 and 216,148.50

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Solution

The third proportional to 161,600.06 and 216,148.50 is: 289,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,600.06 : 216,148.50 = 216,148.50 : x
  2. Step 2: Convert to fraction form
    161,600.06/216,148.50 = 216,148.50/x
  3. Step 3: Cross multiply
    161,600.06x = 216,148.50 × 216,148.50
  4. Step 4: Simplify right side
    161,600.06x = 46,720,174,052.25
  5. Step 5: Solve for x
    x = 46,720,174,052.25/161,600.06
  6. Step 6: Final answer
    x = 289,109.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.