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Finding the Third Proportional to 115,384 and 247,376

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Solution

The third proportional to 115,384 and 247,376 is: 530,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384 : 247,376 = 247,376 : x
  2. Step 2: Convert to fraction form
    115,384/247,376 = 247,376/x
  3. Step 3: Cross multiply
    115,384x = 247,376 × 247,376
  4. Step 4: Simplify right side
    115,384x = 61,194,885,376
  5. Step 5: Solve for x
    x = 61,194,885,376/115,384
  6. Step 6: Final answer
    x = 530,358.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.