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Finding the Third Proportional to 113,566.50 and 170,622.84

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Solution

The third proportional to 113,566.50 and 170,622.84 is: 256,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,566.50 : 170,622.84 = 170,622.84 : x
  2. Step 2: Convert to fraction form
    113,566.50/170,622.84 = 170,622.84/x
  3. Step 3: Cross multiply
    113,566.50x = 170,622.84 × 170,622.84
  4. Step 4: Simplify right side
    113,566.50x = 29,112,154,809.34
  5. Step 5: Solve for x
    x = 29,112,154,809.34/113,566.50
  6. Step 6: Final answer
    x = 256,344.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.