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Finding the Third Proportional to 174,528.84 and 266,867.16

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Solution

The third proportional to 174,528.84 and 266,867.16 is: 408,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,528.84 : 266,867.16 = 266,867.16 : x
  2. Step 2: Convert to fraction form
    174,528.84/266,867.16 = 266,867.16/x
  3. Step 3: Cross multiply
    174,528.84x = 266,867.16 × 266,867.16
  4. Step 4: Simplify right side
    174,528.84x = 71,218,079,084.96
  5. Step 5: Solve for x
    x = 71,218,079,084.96/174,528.84
  6. Step 6: Final answer
    x = 408,059.08

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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.