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Finding the Third Proportional to 107,444 and 234,146

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Solution

The third proportional to 107,444 and 234,146 is: 510,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,444 : 234,146 = 234,146 : x
  2. Step 2: Convert to fraction form
    107,444/234,146 = 234,146/x
  3. Step 3: Cross multiply
    107,444x = 234,146 × 234,146
  4. Step 4: Simplify right side
    107,444x = 54,824,349,316
  5. Step 5: Solve for x
    x = 54,824,349,316/107,444
  6. Step 6: Final answer
    x = 510,259.76

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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.