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Finding the Third Proportional to 176,077.13 and 366,746.25

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Solution

The third proportional to 176,077.13 and 366,746.25 is: 763,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,077.13 : 366,746.25 = 366,746.25 : x
  2. Step 2: Convert to fraction form
    176,077.13/366,746.25 = 366,746.25/x
  3. Step 3: Cross multiply
    176,077.13x = 366,746.25 × 366,746.25
  4. Step 4: Simplify right side
    176,077.13x = 134,502,811,889.06
  5. Step 5: Solve for x
    x = 134,502,811,889.06/176,077.13
  6. Step 6: Final answer
    x = 763,885.78

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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.