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Finding the Third Proportional to 157,730 and 226,726

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Solution

The third proportional to 157,730 and 226,726 is: 325,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,730 : 226,726 = 226,726 : x
  2. Step 2: Convert to fraction form
    157,730/226,726 = 226,726/x
  3. Step 3: Cross multiply
    157,730x = 226,726 × 226,726
  4. Step 4: Simplify right side
    157,730x = 51,404,679,076
  5. Step 5: Solve for x
    x = 51,404,679,076/157,730
  6. Step 6: Final answer
    x = 325,902.99

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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.