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Finding the Third Proportional to 176,530.50 and 261,366.75

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Solution

The third proportional to 176,530.50 and 261,366.75 is: 386,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,530.50 : 261,366.75 = 261,366.75 : x
  2. Step 2: Convert to fraction form
    176,530.50/261,366.75 = 261,366.75/x
  3. Step 3: Cross multiply
    176,530.50x = 261,366.75 × 261,366.75
  4. Step 4: Simplify right side
    176,530.50x = 68,312,578,005.56
  5. Step 5: Solve for x
    x = 68,312,578,005.56/176,530.50
  6. Step 6: Final answer
    x = 386,973.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.