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Finding the Third Proportional to 127,504.69 and 264,223.13

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Solution

The third proportional to 127,504.69 and 264,223.13 is: 547,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,504.69 : 264,223.13 = 264,223.13 : x
  2. Step 2: Convert to fraction form
    127,504.69/264,223.13 = 264,223.13/x
  3. Step 3: Cross multiply
    127,504.69x = 264,223.13 × 264,223.13
  4. Step 4: Simplify right side
    127,504.69x = 69,813,859,784.77
  5. Step 5: Solve for x
    x = 69,813,859,784.77/127,504.69
  6. Step 6: Final answer
    x = 547,539.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.