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Finding the Third Proportional to 159,073 and 346,136

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Solution

The third proportional to 159,073 and 346,136 is: 753,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,073 : 346,136 = 346,136 : x
  2. Step 2: Convert to fraction form
    159,073/346,136 = 346,136/x
  3. Step 3: Cross multiply
    159,073x = 346,136 × 346,136
  4. Step 4: Simplify right side
    159,073x = 119,810,130,496
  5. Step 5: Solve for x
    x = 119,810,130,496/159,073
  6. Step 6: Final answer
    x = 753,177.04

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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.