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Finding the Third Proportional to 235,514 and 363,855

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Solution

The third proportional to 235,514 and 363,855 is: 562,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,514 : 363,855 = 363,855 : x
  2. Step 2: Convert to fraction form
    235,514/363,855 = 363,855/x
  3. Step 3: Cross multiply
    235,514x = 363,855 × 363,855
  4. Step 4: Simplify right side
    235,514x = 132,390,461,025
  5. Step 5: Solve for x
    x = 132,390,461,025/235,514
  6. Step 6: Final answer
    x = 562,134.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.