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Finding the Third Proportional to 107,155 and 235,464

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Solution

The third proportional to 107,155 and 235,464 is: 517,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,155 : 235,464 = 235,464 : x
  2. Step 2: Convert to fraction form
    107,155/235,464 = 235,464/x
  3. Step 3: Cross multiply
    107,155x = 235,464 × 235,464
  4. Step 4: Simplify right side
    107,155x = 55,443,295,296
  5. Step 5: Solve for x
    x = 55,443,295,296/107,155
  6. Step 6: Final answer
    x = 517,412.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.