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Finding the Third Proportional to 64,350 and 141,798

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Solution

The third proportional to 64,350 and 141,798 is: 312,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,350 : 141,798 = 141,798 : x
  2. Step 2: Convert to fraction form
    64,350/141,798 = 141,798/x
  3. Step 3: Cross multiply
    64,350x = 141,798 × 141,798
  4. Step 4: Simplify right side
    64,350x = 20,106,672,804
  5. Step 5: Solve for x
    x = 20,106,672,804/64,350
  6. Step 6: Final answer
    x = 312,458.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.