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Finding the Third Proportional to 242,272 and 365,592

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Solution

The third proportional to 242,272 and 365,592 is: 551,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,272 : 365,592 = 365,592 : x
  2. Step 2: Convert to fraction form
    242,272/365,592 = 365,592/x
  3. Step 3: Cross multiply
    242,272x = 365,592 × 365,592
  4. Step 4: Simplify right side
    242,272x = 133,657,510,464
  5. Step 5: Solve for x
    x = 133,657,510,464/242,272
  6. Step 6: Final answer
    x = 551,683.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.