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Finding the Third Proportional to 112,767.19 and 243,162.84

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Solution

The third proportional to 112,767.19 and 243,162.84 is: 524,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,767.19 : 243,162.84 = 243,162.84 : x
  2. Step 2: Convert to fraction form
    112,767.19/243,162.84 = 243,162.84/x
  3. Step 3: Cross multiply
    112,767.19x = 243,162.84 × 243,162.84
  4. Step 4: Simplify right side
    112,767.19x = 59,128,168,580.59
  5. Step 5: Solve for x
    x = 59,128,168,580.59/112,767.19
  6. Step 6: Final answer
    x = 524,338.42

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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.