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Finding the Third Proportional to 107,356 and 235,952

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Solution

The third proportional to 107,356 and 235,952 is: 518,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,356 : 235,952 = 235,952 : x
  2. Step 2: Convert to fraction form
    107,356/235,952 = 235,952/x
  3. Step 3: Cross multiply
    107,356x = 235,952 × 235,952
  4. Step 4: Simplify right side
    107,356x = 55,673,346,304
  5. Step 5: Solve for x
    x = 55,673,346,304/107,356
  6. Step 6: Final answer
    x = 518,586.26

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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.