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Finding the Third Proportional to 135,854.63 and 297,953.25

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Solution

The third proportional to 135,854.63 and 297,953.25 is: 653,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854.63 : 297,953.25 = 297,953.25 : x
  2. Step 2: Convert to fraction form
    135,854.63/297,953.25 = 297,953.25/x
  3. Step 3: Cross multiply
    135,854.63x = 297,953.25 × 297,953.25
  4. Step 4: Simplify right side
    135,854.63x = 88,776,139,185.56
  5. Step 5: Solve for x
    x = 88,776,139,185.56/135,854.63
  6. Step 6: Final answer
    x = 653,464.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.