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Finding the Third Proportional to 114,258 and 247,578

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Solution

The third proportional to 114,258 and 247,578 is: 536,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,258 : 247,578 = 247,578 : x
  2. Step 2: Convert to fraction form
    114,258/247,578 = 247,578/x
  3. Step 3: Cross multiply
    114,258x = 247,578 × 247,578
  4. Step 4: Simplify right side
    114,258x = 61,294,866,084
  5. Step 5: Solve for x
    x = 61,294,866,084/114,258
  6. Step 6: Final answer
    x = 536,460.17

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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.