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Finding the Third Proportional to 114,004 and 247,479

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Solution

The third proportional to 114,004 and 247,479 is: 537,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,004 : 247,479 = 247,479 : x
  2. Step 2: Convert to fraction form
    114,004/247,479 = 247,479/x
  3. Step 3: Cross multiply
    114,004x = 247,479 × 247,479
  4. Step 4: Simplify right side
    114,004x = 61,245,855,441
  5. Step 5: Solve for x
    x = 61,245,855,441/114,004
  6. Step 6: Final answer
    x = 537,225.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.