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Finding the Third Proportional to 173,147.63 and 265,963.50

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Solution

The third proportional to 173,147.63 and 265,963.50 is: 408,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,147.63 : 265,963.50 = 265,963.50 : x
  2. Step 2: Convert to fraction form
    173,147.63/265,963.50 = 265,963.50/x
  3. Step 3: Cross multiply
    173,147.63x = 265,963.50 × 265,963.50
  4. Step 4: Simplify right side
    173,147.63x = 70,736,583,332.25
  5. Step 5: Solve for x
    x = 70,736,583,332.25/173,147.63
  6. Step 6: Final answer
    x = 408,533.37

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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.