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Finding the Third Proportional to 176,431.50 and 265,047

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Solution

The third proportional to 176,431.50 and 265,047 is: 398,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,431.50 : 265,047 = 265,047 : x
  2. Step 2: Convert to fraction form
    176,431.50/265,047 = 265,047/x
  3. Step 3: Cross multiply
    176,431.50x = 265,047 × 265,047
  4. Step 4: Simplify right side
    176,431.50x = 70,249,912,209
  5. Step 5: Solve for x
    x = 70,249,912,209/176,431.50
  6. Step 6: Final answer
    x = 398,171.03

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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.