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Finding the Third Proportional to 88,402 and 192,340

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Solution

The third proportional to 88,402 and 192,340 is: 418,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,402 : 192,340 = 192,340 : x
  2. Step 2: Convert to fraction form
    88,402/192,340 = 192,340/x
  3. Step 3: Cross multiply
    88,402x = 192,340 × 192,340
  4. Step 4: Simplify right side
    88,402x = 36,994,675,600
  5. Step 5: Solve for x
    x = 36,994,675,600/88,402
  6. Step 6: Final answer
    x = 418,482.34

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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.