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Finding the Third Proportional to 116,364 and 253,464

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Solution

The third proportional to 116,364 and 253,464 is: 552,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,364 : 253,464 = 253,464 : x
  2. Step 2: Convert to fraction form
    116,364/253,464 = 253,464/x
  3. Step 3: Cross multiply
    116,364x = 253,464 × 253,464
  4. Step 4: Simplify right side
    116,364x = 64,243,999,296
  5. Step 5: Solve for x
    x = 64,243,999,296/116,364
  6. Step 6: Final answer
    x = 552,095.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.