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Finding the Third Proportional to 173,306 and 360,202

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Solution

The third proportional to 173,306 and 360,202 is: 748,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,306 : 360,202 = 360,202 : x
  2. Step 2: Convert to fraction form
    173,306/360,202 = 360,202/x
  3. Step 3: Cross multiply
    173,306x = 360,202 × 360,202
  4. Step 4: Simplify right side
    173,306x = 129,745,480,804
  5. Step 5: Solve for x
    x = 129,745,480,804/173,306
  6. Step 6: Final answer
    x = 748,649.68

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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.