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Finding the Third Proportional to 174,548.81 and 266,900.06

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Solution

The third proportional to 174,548.81 and 266,900.06 is: 408,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,548.81 : 266,900.06 = 266,900.06 : x
  2. Step 2: Convert to fraction form
    174,548.81/266,900.06 = 266,900.06/x
  3. Step 3: Cross multiply
    174,548.81x = 266,900.06 × 266,900.06
  4. Step 4: Simplify right side
    174,548.81x = 71,235,643,362.50
  5. Step 5: Solve for x
    x = 71,235,643,362.50/174,548.81
  6. Step 6: Final answer
    x = 408,113.02

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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.