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Finding the Third Proportional to 173,141 and 260,213

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Solution

The third proportional to 173,141 and 260,213 is: 391,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,141 : 260,213 = 260,213 : x
  2. Step 2: Convert to fraction form
    173,141/260,213 = 260,213/x
  3. Step 3: Cross multiply
    173,141x = 260,213 × 260,213
  4. Step 4: Simplify right side
    173,141x = 67,710,805,369
  5. Step 5: Solve for x
    x = 67,710,805,369/173,141
  6. Step 6: Final answer
    x = 391,073.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.