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Finding the Third Proportional to 173,160.50 and 265,981.50

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Solution

The third proportional to 173,160.50 and 265,981.50 is: 408,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,160.50 : 265,981.50 = 265,981.50 : x
  2. Step 2: Convert to fraction form
    173,160.50/265,981.50 = 265,981.50/x
  3. Step 3: Cross multiply
    173,160.50x = 265,981.50 × 265,981.50
  4. Step 4: Simplify right side
    173,160.50x = 70,746,158,342.25
  5. Step 5: Solve for x
    x = 70,746,158,342.25/173,160.50
  6. Step 6: Final answer
    x = 408,558.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.