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Finding the Third Proportional to 175,442.63 and 369,216.56

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Solution

The third proportional to 175,442.63 and 369,216.56 is: 777,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,442.63 : 369,216.56 = 369,216.56 : x
  2. Step 2: Convert to fraction form
    175,442.63/369,216.56 = 369,216.56/x
  3. Step 3: Cross multiply
    175,442.63x = 369,216.56 × 369,216.56
  4. Step 4: Simplify right side
    175,442.63x = 136,320,870,024.32
  5. Step 5: Solve for x
    x = 136,320,870,024.32/175,442.63
  6. Step 6: Final answer
    x = 777,011.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.