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Finding the Third Proportional to 177,315.75 and 266,155.88

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Solution

The third proportional to 177,315.75 and 266,155.88 is: 399,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,315.75 : 266,155.88 = 266,155.88 : x
  2. Step 2: Convert to fraction form
    177,315.75/266,155.88 = 266,155.88/x
  3. Step 3: Cross multiply
    177,315.75x = 266,155.88 × 266,155.88
  4. Step 4: Simplify right side
    177,315.75x = 70,838,949,797.02
  5. Step 5: Solve for x
    x = 70,838,949,797.02/177,315.75
  6. Step 6: Final answer
    x = 399,507.37

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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.