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Finding the Third Proportional to 175,570.50 and 265,905

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Solution

The third proportional to 175,570.50 and 265,905 is: 402,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,570.50 : 265,905 = 265,905 : x
  2. Step 2: Convert to fraction form
    175,570.50/265,905 = 265,905/x
  3. Step 3: Cross multiply
    175,570.50x = 265,905 × 265,905
  4. Step 4: Simplify right side
    175,570.50x = 70,705,469,025
  5. Step 5: Solve for x
    x = 70,705,469,025/175,570.50
  6. Step 6: Final answer
    x = 402,718.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.