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Finding the Third Proportional to 157,596 and 229,654

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Solution

The third proportional to 157,596 and 229,654 is: 334,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,596 : 229,654 = 229,654 : x
  2. Step 2: Convert to fraction form
    157,596/229,654 = 229,654/x
  3. Step 3: Cross multiply
    157,596x = 229,654 × 229,654
  4. Step 4: Simplify right side
    157,596x = 52,740,959,716
  5. Step 5: Solve for x
    x = 52,740,959,716/157,596
  6. Step 6: Final answer
    x = 334,659.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.