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Finding the Third Proportional to 117,304 and 255,784

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Solution

The third proportional to 117,304 and 255,784 is: 557,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,304 : 255,784 = 255,784 : x
  2. Step 2: Convert to fraction form
    117,304/255,784 = 255,784/x
  3. Step 3: Cross multiply
    117,304x = 255,784 × 255,784
  4. Step 4: Simplify right side
    117,304x = 65,425,454,656
  5. Step 5: Solve for x
    x = 65,425,454,656/117,304
  6. Step 6: Final answer
    x = 557,742.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.