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Finding the Third Proportional to 114,000 and 247,320

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Solution

The third proportional to 114,000 and 247,320 is: 536,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000 : 247,320 = 247,320 : x
  2. Step 2: Convert to fraction form
    114,000/247,320 = 247,320/x
  3. Step 3: Cross multiply
    114,000x = 247,320 × 247,320
  4. Step 4: Simplify right side
    114,000x = 61,167,182,400
  5. Step 5: Solve for x
    x = 61,167,182,400/114,000
  6. Step 6: Final answer
    x = 536,554.23

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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.