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Finding the Third Proportional to 114,585 and 246,722.63

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Solution

The third proportional to 114,585 and 246,722.63 is: 531,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,585 : 246,722.63 = 246,722.63 : x
  2. Step 2: Convert to fraction form
    114,585/246,722.63 = 246,722.63/x
  3. Step 3: Cross multiply
    114,585x = 246,722.63 × 246,722.63
  4. Step 4: Simplify right side
    114,585x = 60,872,053,686.89
  5. Step 5: Solve for x
    x = 60,872,053,686.89/114,585
  6. Step 6: Final answer
    x = 531,239.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.