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Finding the Third Proportional to 115,551 and 242,280

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Solution

The third proportional to 115,551 and 242,280 is: 507,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,551 : 242,280 = 242,280 : x
  2. Step 2: Convert to fraction form
    115,551/242,280 = 242,280/x
  3. Step 3: Cross multiply
    115,551x = 242,280 × 242,280
  4. Step 4: Simplify right side
    115,551x = 58,699,598,400
  5. Step 5: Solve for x
    x = 58,699,598,400/115,551
  6. Step 6: Final answer
    x = 507,997.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.