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Finding the Third Proportional to 114,789 and 268,051.13

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Solution

The third proportional to 114,789 and 268,051.13 is: 625,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,789 : 268,051.13 = 268,051.13 : x
  2. Step 2: Convert to fraction form
    114,789/268,051.13 = 268,051.13/x
  3. Step 3: Cross multiply
    114,789x = 268,051.13 × 268,051.13
  4. Step 4: Simplify right side
    114,789x = 71,851,405,613.77
  5. Step 5: Solve for x
    x = 71,851,405,613.77/114,789
  6. Step 6: Final answer
    x = 625,943.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.