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Finding the Third Proportional to 157,592 and 229,648

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Solution

The third proportional to 157,592 and 229,648 is: 334,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,592 : 229,648 = 229,648 : x
  2. Step 2: Convert to fraction form
    157,592/229,648 = 229,648/x
  3. Step 3: Cross multiply
    157,592x = 229,648 × 229,648
  4. Step 4: Simplify right side
    157,592x = 52,738,203,904
  5. Step 5: Solve for x
    x = 52,738,203,904/157,592
  6. Step 6: Final answer
    x = 334,650.26

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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.