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Finding the Third Proportional to 112,830.38 and 243,293.63

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Solution

The third proportional to 112,830.38 and 243,293.63 is: 524,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,830.38 : 243,293.63 = 243,293.63 : x
  2. Step 2: Convert to fraction form
    112,830.38/243,293.63 = 243,293.63/x
  3. Step 3: Cross multiply
    112,830.38x = 243,293.63 × 243,293.63
  4. Step 4: Simplify right side
    112,830.38x = 59,191,787,965.64
  5. Step 5: Solve for x
    x = 59,191,787,965.64/112,830.38
  6. Step 6: Final answer
    x = 524,608.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.