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Finding the Third Proportional to 173,098 and 359,955

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Solution

The third proportional to 173,098 and 359,955 is: 748,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,098 : 359,955 = 359,955 : x
  2. Step 2: Convert to fraction form
    173,098/359,955 = 359,955/x
  3. Step 3: Cross multiply
    173,098x = 359,955 × 359,955
  4. Step 4: Simplify right side
    173,098x = 129,567,602,025
  5. Step 5: Solve for x
    x = 129,567,602,025/173,098
  6. Step 6: Final answer
    x = 748,521.66

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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.