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Finding the Third Proportional to 112,864.50 and 266,415.75

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Solution

The third proportional to 112,864.50 and 266,415.75 is: 628,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,864.50 : 266,415.75 = 266,415.75 : x
  2. Step 2: Convert to fraction form
    112,864.50/266,415.75 = 266,415.75/x
  3. Step 3: Cross multiply
    112,864.50x = 266,415.75 × 266,415.75
  4. Step 4: Simplify right side
    112,864.50x = 70,977,351,848.06
  5. Step 5: Solve for x
    x = 70,977,351,848.06/112,864.50
  6. Step 6: Final answer
    x = 628,872.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.