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Finding the Third Proportional to 136,548 and 297,032

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Solution

The third proportional to 136,548 and 297,032 is: 646,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,548 : 297,032 = 297,032 : x
  2. Step 2: Convert to fraction form
    136,548/297,032 = 297,032/x
  3. Step 3: Cross multiply
    136,548x = 297,032 × 297,032
  4. Step 4: Simplify right side
    136,548x = 88,228,009,024
  5. Step 5: Solve for x
    x = 88,228,009,024/136,548
  6. Step 6: Final answer
    x = 646,131.83

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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.