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Finding the Third Proportional to 114,009 and 247,486

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Solution

The third proportional to 114,009 and 247,486 is: 537,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,009 : 247,486 = 247,486 : x
  2. Step 2: Convert to fraction form
    114,009/247,486 = 247,486/x
  3. Step 3: Cross multiply
    114,009x = 247,486 × 247,486
  4. Step 4: Simplify right side
    114,009x = 61,249,320,196
  5. Step 5: Solve for x
    x = 61,249,320,196/114,009
  6. Step 6: Final answer
    x = 537,232.33

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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.