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Finding the Third Proportional to 173,781 and 255,033

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Solution

The third proportional to 173,781 and 255,033 is: 374,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,781 : 255,033 = 255,033 : x
  2. Step 2: Convert to fraction form
    173,781/255,033 = 255,033/x
  3. Step 3: Cross multiply
    173,781x = 255,033 × 255,033
  4. Step 4: Simplify right side
    173,781x = 65,041,831,089
  5. Step 5: Solve for x
    x = 65,041,831,089/173,781
  6. Step 6: Final answer
    x = 374,274.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.