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Finding the Third Proportional to 73,196 and 160,648

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Solution

The third proportional to 73,196 and 160,648 is: 352,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,196 : 160,648 = 160,648 : x
  2. Step 2: Convert to fraction form
    73,196/160,648 = 160,648/x
  3. Step 3: Cross multiply
    73,196x = 160,648 × 160,648
  4. Step 4: Simplify right side
    73,196x = 25,807,779,904
  5. Step 5: Solve for x
    x = 25,807,779,904/73,196
  6. Step 6: Final answer
    x = 352,584.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.