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Finding the Third Proportional to 273,164 and 596,136

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Solution

The third proportional to 273,164 and 596,136 is: 1,300,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,164 : 596,136 = 596,136 : x
  2. Step 2: Convert to fraction form
    273,164/596,136 = 596,136/x
  3. Step 3: Cross multiply
    273,164x = 596,136 × 596,136
  4. Step 4: Simplify right side
    273,164x = 355,378,130,496
  5. Step 5: Solve for x
    x = 355,378,130,496/273,164
  6. Step 6: Final answer
    x = 1,300,969.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.