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Finding the Third Proportional to 176,509.13 and 265,158.56

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Solution

The third proportional to 176,509.13 and 265,158.56 is: 398,331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,509.13 : 265,158.56 = 265,158.56 : x
  2. Step 2: Convert to fraction form
    176,509.13/265,158.56 = 265,158.56/x
  3. Step 3: Cross multiply
    176,509.13x = 265,158.56 × 265,158.56
  4. Step 4: Simplify right side
    176,509.13x = 70,309,063,267.07
  5. Step 5: Solve for x
    x = 70,309,063,267.07/176,509.13
  6. Step 6: Final answer
    x = 398,331.04

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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.