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Finding the Third Proportional to 173,461.50 and 378,356.06

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Solution

The third proportional to 173,461.50 and 378,356.06 is: 825,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,461.50 : 378,356.06 = 378,356.06 : x
  2. Step 2: Convert to fraction form
    173,461.50/378,356.06 = 378,356.06/x
  3. Step 3: Cross multiply
    173,461.50x = 378,356.06 × 378,356.06
  4. Step 4: Simplify right side
    173,461.50x = 143,153,310,030.50
  5. Step 5: Solve for x
    x = 143,153,310,030.50/173,461.50
  6. Step 6: Final answer
    x = 825,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.