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Finding the Third Proportional to 169,776 and 366,444

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Solution

The third proportional to 169,776 and 366,444 is: 790,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,776 : 366,444 = 366,444 : x
  2. Step 2: Convert to fraction form
    169,776/366,444 = 366,444/x
  3. Step 3: Cross multiply
    169,776x = 366,444 × 366,444
  4. Step 4: Simplify right side
    169,776x = 134,281,205,136
  5. Step 5: Solve for x
    x = 134,281,205,136/169,776
  6. Step 6: Final answer
    x = 790,931.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.