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Finding the Third Proportional to 113,001 and 250,784

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Solution

The third proportional to 113,001 and 250,784 is: 556,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,001 : 250,784 = 250,784 : x
  2. Step 2: Convert to fraction form
    113,001/250,784 = 250,784/x
  3. Step 3: Cross multiply
    113,001x = 250,784 × 250,784
  4. Step 4: Simplify right side
    113,001x = 62,892,614,656
  5. Step 5: Solve for x
    x = 62,892,614,656/113,001
  6. Step 6: Final answer
    x = 556,566.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.