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Finding the Third Proportional to 113,033 and 243,562

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Solution

The third proportional to 113,033 and 243,562 is: 524,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,033 : 243,562 = 243,562 : x
  2. Step 2: Convert to fraction form
    113,033/243,562 = 243,562/x
  3. Step 3: Cross multiply
    113,033x = 243,562 × 243,562
  4. Step 4: Simplify right side
    113,033x = 59,322,447,844
  5. Step 5: Solve for x
    x = 59,322,447,844/113,033
  6. Step 6: Final answer
    x = 524,824.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.