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Finding the Third Proportional to 151,464.94 and 235,193.63

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Solution

The third proportional to 151,464.94 and 235,193.63 is: 365,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464.94 : 235,193.63 = 235,193.63 : x
  2. Step 2: Convert to fraction form
    151,464.94/235,193.63 = 235,193.63/x
  3. Step 3: Cross multiply
    151,464.94x = 235,193.63 × 235,193.63
  4. Step 4: Simplify right side
    151,464.94x = 55,316,041,240.64
  5. Step 5: Solve for x
    x = 55,316,041,240.64/151,464.94
  6. Step 6: Final answer
    x = 365,206.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.