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Finding the Third Proportional to 172,910 and 357,820

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Solution

The third proportional to 172,910 and 357,820 is: 740,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,910 : 357,820 = 357,820 : x
  2. Step 2: Convert to fraction form
    172,910/357,820 = 357,820/x
  3. Step 3: Cross multiply
    172,910x = 357,820 × 357,820
  4. Step 4: Simplify right side
    172,910x = 128,035,152,400
  5. Step 5: Solve for x
    x = 128,035,152,400/172,910
  6. Step 6: Final answer
    x = 740,472.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.