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Finding the Third Proportional to 172,468 and 370,136

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Solution

The third proportional to 172,468 and 370,136 is: 794,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,468 : 370,136 = 370,136 : x
  2. Step 2: Convert to fraction form
    172,468/370,136 = 370,136/x
  3. Step 3: Cross multiply
    172,468x = 370,136 × 370,136
  4. Step 4: Simplify right side
    172,468x = 137,000,658,496
  5. Step 5: Solve for x
    x = 137,000,658,496/172,468
  6. Step 6: Final answer
    x = 794,354.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.