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Finding the Third Proportional to 76,836 and 157,464

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Solution

The third proportional to 76,836 and 157,464 is: 322,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,836 : 157,464 = 157,464 : x
  2. Step 2: Convert to fraction form
    76,836/157,464 = 157,464/x
  3. Step 3: Cross multiply
    76,836x = 157,464 × 157,464
  4. Step 4: Simplify right side
    76,836x = 24,794,911,296
  5. Step 5: Solve for x
    x = 24,794,911,296/76,836
  6. Step 6: Final answer
    x = 322,699.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.