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Finding the Third Proportional to 158,072 and 373,136

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Solution

The third proportional to 158,072 and 373,136 is: 880,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,072 : 373,136 = 373,136 : x
  2. Step 2: Convert to fraction form
    158,072/373,136 = 373,136/x
  3. Step 3: Cross multiply
    158,072x = 373,136 × 373,136
  4. Step 4: Simplify right side
    158,072x = 139,230,474,496
  5. Step 5: Solve for x
    x = 139,230,474,496/158,072
  6. Step 6: Final answer
    x = 880,804.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.