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Finding the Third Proportional to 192,506 and 297,511

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Solution

The third proportional to 192,506 and 297,511 is: 459,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,506 : 297,511 = 297,511 : x
  2. Step 2: Convert to fraction form
    192,506/297,511 = 297,511/x
  3. Step 3: Cross multiply
    192,506x = 297,511 × 297,511
  4. Step 4: Simplify right side
    192,506x = 88,512,795,121
  5. Step 5: Solve for x
    x = 88,512,795,121/192,506
  6. Step 6: Final answer
    x = 459,792.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.