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Finding the Third Proportional to 292,136 and 462,192

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Solution

The third proportional to 292,136 and 462,192 is: 731,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,136 : 462,192 = 462,192 : x
  2. Step 2: Convert to fraction form
    292,136/462,192 = 462,192/x
  3. Step 3: Cross multiply
    292,136x = 462,192 × 462,192
  4. Step 4: Simplify right side
    292,136x = 213,621,444,864
  5. Step 5: Solve for x
    x = 213,621,444,864/292,136
  6. Step 6: Final answer
    x = 731,239.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.