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Finding the Third Proportional to 173,791 and 255,046

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Solution

The third proportional to 173,791 and 255,046 is: 374,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,791 : 255,046 = 255,046 : x
  2. Step 2: Convert to fraction form
    173,791/255,046 = 255,046/x
  3. Step 3: Cross multiply
    173,791x = 255,046 × 255,046
  4. Step 4: Simplify right side
    173,791x = 65,048,462,116
  5. Step 5: Solve for x
    x = 65,048,462,116/173,791
  6. Step 6: Final answer
    x = 374,291.32

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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.