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Finding the Third Proportional to 102,546 and 231,417

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Solution

The third proportional to 102,546 and 231,417 is: 522,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546 : 231,417 = 231,417 : x
  2. Step 2: Convert to fraction form
    102,546/231,417 = 231,417/x
  3. Step 3: Cross multiply
    102,546x = 231,417 × 231,417
  4. Step 4: Simplify right side
    102,546x = 53,553,827,889
  5. Step 5: Solve for x
    x = 53,553,827,889/102,546
  6. Step 6: Final answer
    x = 522,242.00

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.