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Finding the Third Proportional to 108,020 and 235,408

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Solution

The third proportional to 108,020 and 235,408 is: 513,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,020 : 235,408 = 235,408 : x
  2. Step 2: Convert to fraction form
    108,020/235,408 = 235,408/x
  3. Step 3: Cross multiply
    108,020x = 235,408 × 235,408
  4. Step 4: Simplify right side
    108,020x = 55,416,926,464
  5. Step 5: Solve for x
    x = 55,416,926,464/108,020
  6. Step 6: Final answer
    x = 513,024.68

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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.