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Finding the Third Proportional to 157,655 and 226,641

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Solution

The third proportional to 157,655 and 226,641 is: 325,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,655 : 226,641 = 226,641 : x
  2. Step 2: Convert to fraction form
    157,655/226,641 = 226,641/x
  3. Step 3: Cross multiply
    157,655x = 226,641 × 226,641
  4. Step 4: Simplify right side
    157,655x = 51,366,142,881
  5. Step 5: Solve for x
    x = 51,366,142,881/157,655
  6. Step 6: Final answer
    x = 325,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.