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Finding the Third Proportional to 169,532 and 230,239

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Solution

The third proportional to 169,532 and 230,239 is: 312,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,532 : 230,239 = 230,239 : x
  2. Step 2: Convert to fraction form
    169,532/230,239 = 230,239/x
  3. Step 3: Cross multiply
    169,532x = 230,239 × 230,239
  4. Step 4: Simplify right side
    169,532x = 53,009,997,121
  5. Step 5: Solve for x
    x = 53,009,997,121/169,532
  6. Step 6: Final answer
    x = 312,684.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.