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Finding the Third Proportional to 164,650 and 361,376

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Solution

The third proportional to 164,650 and 361,376 is: 793,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,650 : 361,376 = 361,376 : x
  2. Step 2: Convert to fraction form
    164,650/361,376 = 361,376/x
  3. Step 3: Cross multiply
    164,650x = 361,376 × 361,376
  4. Step 4: Simplify right side
    164,650x = 130,592,613,376
  5. Step 5: Solve for x
    x = 130,592,613,376/164,650
  6. Step 6: Final answer
    x = 793,152.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.