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Finding the Third Proportional to 162,749.25 and 251,975.81

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Solution

The third proportional to 162,749.25 and 251,975.81 is: 390,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,749.25 : 251,975.81 = 251,975.81 : x
  2. Step 2: Convert to fraction form
    162,749.25/251,975.81 = 251,975.81/x
  3. Step 3: Cross multiply
    162,749.25x = 251,975.81 × 251,975.81
  4. Step 4: Simplify right side
    162,749.25x = 63,491,810,085.04
  5. Step 5: Solve for x
    x = 63,491,810,085.04/162,749.25
  6. Step 6: Final answer
    x = 390,120.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.