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Finding the Third Proportional to 114,011 and 247,490

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Solution

The third proportional to 114,011 and 247,490 is: 537,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,011 : 247,490 = 247,490 : x
  2. Step 2: Convert to fraction form
    114,011/247,490 = 247,490/x
  3. Step 3: Cross multiply
    114,011x = 247,490 × 247,490
  4. Step 4: Simplify right side
    114,011x = 61,251,300,100
  5. Step 5: Solve for x
    x = 61,251,300,100/114,011
  6. Step 6: Final answer
    x = 537,240.27

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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.