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Finding the Third Proportional to 116,521.50 and 252,482.25

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Solution

The third proportional to 116,521.50 and 252,482.25 is: 547,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,521.50 : 252,482.25 = 252,482.25 : x
  2. Step 2: Convert to fraction form
    116,521.50/252,482.25 = 252,482.25/x
  3. Step 3: Cross multiply
    116,521.50x = 252,482.25 × 252,482.25
  4. Step 4: Simplify right side
    116,521.50x = 63,747,286,565.06
  5. Step 5: Solve for x
    x = 63,747,286,565.06/116,521.50
  6. Step 6: Final answer
    x = 547,086.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.