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Finding the Third Proportional to 158,596.88 and 245,953.13

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Solution

The third proportional to 158,596.88 and 245,953.13 is: 381,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,596.88 : 245,953.13 = 245,953.13 : x
  2. Step 2: Convert to fraction form
    158,596.88/245,953.13 = 245,953.13/x
  3. Step 3: Cross multiply
    158,596.88x = 245,953.13 × 245,953.13
  4. Step 4: Simplify right side
    158,596.88x = 60,492,939,697.27
  5. Step 5: Solve for x
    x = 60,492,939,697.27/158,596.88
  6. Step 6: Final answer
    x = 381,425.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.