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Finding the Third Proportional to 107,762 and 234,514

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Solution

The third proportional to 107,762 and 234,514 is: 510,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,762 : 234,514 = 234,514 : x
  2. Step 2: Convert to fraction form
    107,762/234,514 = 234,514/x
  3. Step 3: Cross multiply
    107,762x = 234,514 × 234,514
  4. Step 4: Simplify right side
    107,762x = 54,996,816,196
  5. Step 5: Solve for x
    x = 54,996,816,196/107,762
  6. Step 6: Final answer
    x = 510,354.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.