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Finding the Third Proportional to 176,275 and 264,799.50

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Solution

The third proportional to 176,275 and 264,799.50 is: 397,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,275 : 264,799.50 = 264,799.50 : x
  2. Step 2: Convert to fraction form
    176,275/264,799.50 = 264,799.50/x
  3. Step 3: Cross multiply
    176,275x = 264,799.50 × 264,799.50
  4. Step 4: Simplify right side
    176,275x = 70,118,775,200.25
  5. Step 5: Solve for x
    x = 70,118,775,200.25/176,275
  6. Step 6: Final answer
    x = 397,780.60

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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.