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Finding the Third Proportional to 113,913.84 and 263,719.55

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Solution

The third proportional to 113,913.84 and 263,719.55 is: 610,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,913.84 : 263,719.55 = 263,719.55 : x
  2. Step 2: Convert to fraction form
    113,913.84/263,719.55 = 263,719.55/x
  3. Step 3: Cross multiply
    113,913.84x = 263,719.55 × 263,719.55
  4. Step 4: Simplify right side
    113,913.84x = 69,547,999,403.96
  5. Step 5: Solve for x
    x = 69,547,999,403.96/113,913.84
  6. Step 6: Final answer
    x = 610,531.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.