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Finding the Third Proportional to 136,402 and 297,584

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Solution

The third proportional to 136,402 and 297,584 is: 649,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,402 : 297,584 = 297,584 : x
  2. Step 2: Convert to fraction form
    136,402/297,584 = 297,584/x
  3. Step 3: Cross multiply
    136,402x = 297,584 × 297,584
  4. Step 4: Simplify right side
    136,402x = 88,556,237,056
  5. Step 5: Solve for x
    x = 88,556,237,056/136,402
  6. Step 6: Final answer
    x = 649,229.76

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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.