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Finding the Third Proportional to 174,560.50 and 266,913

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Solution

The third proportional to 174,560.50 and 266,913 is: 408,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,560.50 : 266,913 = 266,913 : x
  2. Step 2: Convert to fraction form
    174,560.50/266,913 = 266,913/x
  3. Step 3: Cross multiply
    174,560.50x = 266,913 × 266,913
  4. Step 4: Simplify right side
    174,560.50x = 71,242,549,569
  5. Step 5: Solve for x
    x = 71,242,549,569/174,560.50
  6. Step 6: Final answer
    x = 408,125.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.