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Finding the Third Proportional to 113,207.63 and 233,701.88

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Solution

The third proportional to 113,207.63 and 233,701.88 is: 482,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,207.63 : 233,701.88 = 233,701.88 : x
  2. Step 2: Convert to fraction form
    113,207.63/233,701.88 = 233,701.88/x
  3. Step 3: Cross multiply
    113,207.63x = 233,701.88 × 233,701.88
  4. Step 4: Simplify right side
    113,207.63x = 54,616,566,378.52
  5. Step 5: Solve for x
    x = 54,616,566,378.52/113,207.63
  6. Step 6: Final answer
    x = 482,446.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.