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Finding the Third Proportional to 122,294.81 and 265,543.31

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Solution

The third proportional to 122,294.81 and 265,543.31 is: 576,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,294.81 : 265,543.31 = 265,543.31 : x
  2. Step 2: Convert to fraction form
    122,294.81/265,543.31 = 265,543.31/x
  3. Step 3: Cross multiply
    122,294.81x = 265,543.31 × 265,543.31
  4. Step 4: Simplify right side
    122,294.81x = 70,513,250,813.47
  5. Step 5: Solve for x
    x = 70,513,250,813.47/122,294.81
  6. Step 6: Final answer
    x = 576,584.15

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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.