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Finding the Third Proportional to 157,570 and 226,514

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Solution

The third proportional to 157,570 and 226,514 is: 325,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,570 : 226,514 = 226,514 : x
  2. Step 2: Convert to fraction form
    157,570/226,514 = 226,514/x
  3. Step 3: Cross multiply
    157,570x = 226,514 × 226,514
  4. Step 4: Simplify right side
    157,570x = 51,308,592,196
  5. Step 5: Solve for x
    x = 51,308,592,196/157,570
  6. Step 6: Final answer
    x = 325,624.12

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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.