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Finding the Third Proportional to 173,902 and 276,417

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Solution

The third proportional to 173,902 and 276,417 is: 439,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,902 : 276,417 = 276,417 : x
  2. Step 2: Convert to fraction form
    173,902/276,417 = 276,417/x
  3. Step 3: Cross multiply
    173,902x = 276,417 × 276,417
  4. Step 4: Simplify right side
    173,902x = 76,406,357,889
  5. Step 5: Solve for x
    x = 76,406,357,889/173,902
  6. Step 6: Final answer
    x = 439,364.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.