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Finding the Third Proportional to 175,453.50 and 250,905

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Solution

The third proportional to 175,453.50 and 250,905 is: 358,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,453.50 : 250,905 = 250,905 : x
  2. Step 2: Convert to fraction form
    175,453.50/250,905 = 250,905/x
  3. Step 3: Cross multiply
    175,453.50x = 250,905 × 250,905
  4. Step 4: Simplify right side
    175,453.50x = 62,953,319,025
  5. Step 5: Solve for x
    x = 62,953,319,025/175,453.50
  6. Step 6: Final answer
    x = 358,803.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.