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Finding the Third Proportional to 110,830.78 and 162,316.41

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Solution

The third proportional to 110,830.78 and 162,316.41 is: 237,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,830.78 : 162,316.41 = 162,316.41 : x
  2. Step 2: Convert to fraction form
    110,830.78/162,316.41 = 162,316.41/x
  3. Step 3: Cross multiply
    110,830.78x = 162,316.41 × 162,316.41
  4. Step 4: Simplify right side
    110,830.78x = 26,346,615,737.92
  5. Step 5: Solve for x
    x = 26,346,615,737.92/110,830.78
  6. Step 6: Final answer
    x = 237,719.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.