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Finding the Third Proportional to 176,080 and 366,752

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Solution

The third proportional to 176,080 and 366,752 is: 763,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,080 : 366,752 = 366,752 : x
  2. Step 2: Convert to fraction form
    176,080/366,752 = 366,752/x
  3. Step 3: Cross multiply
    176,080x = 366,752 × 366,752
  4. Step 4: Simplify right side
    176,080x = 134,507,029,504
  5. Step 5: Solve for x
    x = 134,507,029,504/176,080
  6. Step 6: Final answer
    x = 763,897.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.