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Finding the Third Proportional to 107,203 and 235,423

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Solution

The third proportional to 107,203 and 235,423 is: 517,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,203 : 235,423 = 235,423 : x
  2. Step 2: Convert to fraction form
    107,203/235,423 = 235,423/x
  3. Step 3: Cross multiply
    107,203x = 235,423 × 235,423
  4. Step 4: Simplify right side
    107,203x = 55,423,988,929
  5. Step 5: Solve for x
    x = 55,423,988,929/107,203
  6. Step 6: Final answer
    x = 517,000.35

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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.