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Finding the Third Proportional to 197,751.38 and 314,411.63

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Solution

The third proportional to 197,751.38 and 314,411.63 is: 499,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,751.38 : 314,411.63 = 314,411.63 : x
  2. Step 2: Convert to fraction form
    197,751.38/314,411.63 = 314,411.63/x
  3. Step 3: Cross multiply
    197,751.38x = 314,411.63 × 314,411.63
  4. Step 4: Simplify right side
    197,751.38x = 98,854,669,935.14
  5. Step 5: Solve for x
    x = 98,854,669,935.14/197,751.38
  6. Step 6: Final answer
    x = 499,893.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.