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Finding the Third Proportional to 341,136 and 535,116

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Solution

The third proportional to 341,136 and 535,116 is: 839,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,136 : 535,116 = 535,116 : x
  2. Step 2: Convert to fraction form
    341,136/535,116 = 535,116/x
  3. Step 3: Cross multiply
    341,136x = 535,116 × 535,116
  4. Step 4: Simplify right side
    341,136x = 286,349,133,456
  5. Step 5: Solve for x
    x = 286,349,133,456/341,136
  6. Step 6: Final answer
    x = 839,398.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.