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Finding the Third Proportional to 152,982 and 242,649

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Solution

The third proportional to 152,982 and 242,649 is: 384,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,982 : 242,649 = 242,649 : x
  2. Step 2: Convert to fraction form
    152,982/242,649 = 242,649/x
  3. Step 3: Cross multiply
    152,982x = 242,649 × 242,649
  4. Step 4: Simplify right side
    152,982x = 58,878,537,201
  5. Step 5: Solve for x
    x = 58,878,537,201/152,982
  6. Step 6: Final answer
    x = 384,872.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.