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Finding the Third Proportional to 225,155.95 and 342,373.71

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Solution

The third proportional to 225,155.95 and 342,373.71 is: 520,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,155.95 : 342,373.71 = 342,373.71 : x
  2. Step 2: Convert to fraction form
    225,155.95/342,373.71 = 342,373.71/x
  3. Step 3: Cross multiply
    225,155.95x = 342,373.71 × 342,373.71
  4. Step 4: Simplify right side
    225,155.95x = 117,219,757,941.12
  5. Step 5: Solve for x
    x = 117,219,757,941.12/225,155.95
  6. Step 6: Final answer
    x = 520,615.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.