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Finding the Third Proportional to 136,323 and 297,432

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Solution

The third proportional to 136,323 and 297,432 is: 648,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,323 : 297,432 = 297,432 : x
  2. Step 2: Convert to fraction form
    136,323/297,432 = 297,432/x
  3. Step 3: Cross multiply
    136,323x = 297,432 × 297,432
  4. Step 4: Simplify right side
    136,323x = 88,465,794,624
  5. Step 5: Solve for x
    x = 88,465,794,624/136,323
  6. Step 6: Final answer
    x = 648,942.55

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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.