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Finding the Third Proportional to 114,747 and 248,553

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Solution

The third proportional to 114,747 and 248,553 is: 538,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,747 : 248,553 = 248,553 : x
  2. Step 2: Convert to fraction form
    114,747/248,553 = 248,553/x
  3. Step 3: Cross multiply
    114,747x = 248,553 × 248,553
  4. Step 4: Simplify right side
    114,747x = 61,778,593,809
  5. Step 5: Solve for x
    x = 61,778,593,809/114,747
  6. Step 6: Final answer
    x = 538,389.62

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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.