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Finding the Third Proportional to 196,368.68 and 300,264.47

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Solution

The third proportional to 196,368.68 and 300,264.47 is: 459,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,368.68 : 300,264.47 = 300,264.47 : x
  2. Step 2: Convert to fraction form
    196,368.68/300,264.47 = 300,264.47/x
  3. Step 3: Cross multiply
    196,368.68x = 300,264.47 × 300,264.47
  4. Step 4: Simplify right side
    196,368.68x = 90,158,751,193.72
  5. Step 5: Solve for x
    x = 90,158,751,193.72/196,368.68
  6. Step 6: Final answer
    x = 459,130.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.