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Finding the Third Proportional to 173,561 and 360,946

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Solution

The third proportional to 173,561 and 360,946 is: 750,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,561 : 360,946 = 360,946 : x
  2. Step 2: Convert to fraction form
    173,561/360,946 = 360,946/x
  3. Step 3: Cross multiply
    173,561x = 360,946 × 360,946
  4. Step 4: Simplify right side
    173,561x = 130,282,014,916
  5. Step 5: Solve for x
    x = 130,282,014,916/173,561
  6. Step 6: Final answer
    x = 750,641.07

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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.