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Finding the Third Proportional to 122,836.50 and 266,409

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Solution

The third proportional to 122,836.50 and 266,409 is: 577,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836.50 : 266,409 = 266,409 : x
  2. Step 2: Convert to fraction form
    122,836.50/266,409 = 266,409/x
  3. Step 3: Cross multiply
    122,836.50x = 266,409 × 266,409
  4. Step 4: Simplify right side
    122,836.50x = 70,973,755,281
  5. Step 5: Solve for x
    x = 70,973,755,281/122,836.50
  6. Step 6: Final answer
    x = 577,790.44

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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.