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Finding the Third Proportional to 113,415.75 and 176,402.81

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Solution

The third proportional to 113,415.75 and 176,402.81 is: 274,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,415.75 : 176,402.81 = 176,402.81 : x
  2. Step 2: Convert to fraction form
    113,415.75/176,402.81 = 176,402.81/x
  3. Step 3: Cross multiply
    113,415.75x = 176,402.81 × 176,402.81
  4. Step 4: Simplify right side
    113,415.75x = 31,117,952,257.91
  5. Step 5: Solve for x
    x = 31,117,952,257.91/113,415.75
  6. Step 6: Final answer
    x = 274,370.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.