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Finding the Third Proportional to 175,071 and 266,980.50

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Solution

The third proportional to 175,071 and 266,980.50 is: 407,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,071 : 266,980.50 = 266,980.50 : x
  2. Step 2: Convert to fraction form
    175,071/266,980.50 = 266,980.50/x
  3. Step 3: Cross multiply
    175,071x = 266,980.50 × 266,980.50
  4. Step 4: Simplify right side
    175,071x = 71,278,587,380.25
  5. Step 5: Solve for x
    x = 71,278,587,380.25/175,071
  6. Step 6: Final answer
    x = 407,141.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.