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Finding the Third Proportional to 176,090 and 366,772

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Solution

The third proportional to 176,090 and 366,772 is: 763,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,090 : 366,772 = 366,772 : x
  2. Step 2: Convert to fraction form
    176,090/366,772 = 366,772/x
  3. Step 3: Cross multiply
    176,090x = 366,772 × 366,772
  4. Step 4: Simplify right side
    176,090x = 134,521,699,984
  5. Step 5: Solve for x
    x = 134,521,699,984/176,090
  6. Step 6: Final answer
    x = 763,937.19

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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.