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Finding the Third Proportional to 173,480 and 360,811

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Solution

The third proportional to 173,480 and 360,811 is: 750,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,480 : 360,811 = 360,811 : x
  2. Step 2: Convert to fraction form
    173,480/360,811 = 360,811/x
  3. Step 3: Cross multiply
    173,480x = 360,811 × 360,811
  4. Step 4: Simplify right side
    173,480x = 130,184,577,721
  5. Step 5: Solve for x
    x = 130,184,577,721/173,480
  6. Step 6: Final answer
    x = 750,429.89

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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.