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Finding the Third Proportional to 135,032 and 295,478

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Solution

The third proportional to 135,032 and 295,478 is: 646,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,032 : 295,478 = 295,478 : x
  2. Step 2: Convert to fraction form
    135,032/295,478 = 295,478/x
  3. Step 3: Cross multiply
    135,032x = 295,478 × 295,478
  4. Step 4: Simplify right side
    135,032x = 87,307,248,484
  5. Step 5: Solve for x
    x = 87,307,248,484/135,032
  6. Step 6: Final answer
    x = 646,567.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.