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Finding the Third Proportional to 155,421 and 232,169

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Solution

The third proportional to 155,421 and 232,169 is: 346,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,421 : 232,169 = 232,169 : x
  2. Step 2: Convert to fraction form
    155,421/232,169 = 232,169/x
  3. Step 3: Cross multiply
    155,421x = 232,169 × 232,169
  4. Step 4: Simplify right side
    155,421x = 53,902,444,561
  5. Step 5: Solve for x
    x = 53,902,444,561/155,421
  6. Step 6: Final answer
    x = 346,815.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.