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Finding the Third Proportional to 153,886 and 231,841

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Solution

The third proportional to 153,886 and 231,841 is: 349,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,886 : 231,841 = 231,841 : x
  2. Step 2: Convert to fraction form
    153,886/231,841 = 231,841/x
  3. Step 3: Cross multiply
    153,886x = 231,841 × 231,841
  4. Step 4: Simplify right side
    153,886x = 53,750,249,281
  5. Step 5: Solve for x
    x = 53,750,249,281/153,886
  6. Step 6: Final answer
    x = 349,286.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.