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Finding the Third Proportional to 114,998.06 and 268,615.13

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Solution

The third proportional to 114,998.06 and 268,615.13 is: 627,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,998.06 : 268,615.13 = 268,615.13 : x
  2. Step 2: Convert to fraction form
    114,998.06/268,615.13 = 268,615.13/x
  3. Step 3: Cross multiply
    114,998.06x = 268,615.13 × 268,615.13
  4. Step 4: Simplify right side
    114,998.06x = 72,154,085,378.77
  5. Step 5: Solve for x
    x = 72,154,085,378.77/114,998.06
  6. Step 6: Final answer
    x = 627,437.40

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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.