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Finding the Third Proportional to 242,136 and 478,062

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Solution

The third proportional to 242,136 and 478,062 is: 943,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,136 : 478,062 = 478,062 : x
  2. Step 2: Convert to fraction form
    242,136/478,062 = 478,062/x
  3. Step 3: Cross multiply
    242,136x = 478,062 × 478,062
  4. Step 4: Simplify right side
    242,136x = 228,543,275,844
  5. Step 5: Solve for x
    x = 228,543,275,844/242,136
  6. Step 6: Final answer
    x = 943,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.