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Finding the Third Proportional to 157,562.72 and 226,502.58

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Solution

The third proportional to 157,562.72 and 226,502.58 is: 325,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,562.72 : 226,502.58 = 226,502.58 : x
  2. Step 2: Convert to fraction form
    157,562.72/226,502.58 = 226,502.58/x
  3. Step 3: Cross multiply
    157,562.72x = 226,502.58 × 226,502.58
  4. Step 4: Simplify right side
    157,562.72x = 51,303,417,897.27
  5. Step 5: Solve for x
    x = 51,303,417,897.27/157,562.72
  6. Step 6: Final answer
    x = 325,606.33

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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.