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Finding the Third Proportional to 114,705 and 249,116

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Solution

The third proportional to 114,705 and 249,116 is: 541,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705 : 249,116 = 249,116 : x
  2. Step 2: Convert to fraction form
    114,705/249,116 = 249,116/x
  3. Step 3: Cross multiply
    114,705x = 249,116 × 249,116
  4. Step 4: Simplify right side
    114,705x = 62,058,781,456
  5. Step 5: Solve for x
    x = 62,058,781,456/114,705
  6. Step 6: Final answer
    x = 541,029.44

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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.