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Finding the Third Proportional to 235,567 and 515,136

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Solution

The third proportional to 235,567 and 515,136 is: 1,126,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,567 : 515,136 = 515,136 : x
  2. Step 2: Convert to fraction form
    235,567/515,136 = 515,136/x
  3. Step 3: Cross multiply
    235,567x = 515,136 × 515,136
  4. Step 4: Simplify right side
    235,567x = 265,365,098,496
  5. Step 5: Solve for x
    x = 265,365,098,496/235,567
  6. Step 6: Final answer
    x = 1,126,495.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.